diff --git a/python/paddle/distributed/auto_parallel/operators/__init__.py b/python/paddle/distributed/auto_parallel/operators/__init__.py
index c87316ed8f381547eb5636b7189d3c7395aab52d..3f06b34b53ed978f7e97ba66347daaa770999241 100644
--- a/python/paddle/distributed/auto_parallel/operators/__init__.py
+++ b/python/paddle/distributed/auto_parallel/operators/__init__.py
@@ -28,6 +28,7 @@ from . import dist_check_finite_and_unscale
 from . import dist_update_loss_scaling
 from . import dist_split
 from . import dist_fill_constant_batch_size_like
+from . import dist_pnorm
 from . import dist_slice
 from . import dist_fused_feedforward
 from . import dist_fused_attention
diff --git a/python/paddle/distributed/auto_parallel/operators/dist_pnorm.py b/python/paddle/distributed/auto_parallel/operators/dist_pnorm.py
new file mode 100644
index 0000000000000000000000000000000000000000..ce68e2060218d5294f9434788cbfbc2e4421c3d6
--- /dev/null
+++ b/python/paddle/distributed/auto_parallel/operators/dist_pnorm.py
@@ -0,0 +1,363 @@
+# Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
+# 
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+# 
+#     http://www.apache.org/licenses/LICENSE-2.0
+# 
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import copy
+import paddle
+import paddle.fluid.layers.utils as utils
+
+from .common import DistributedOperatorImplContainer
+from .common import DistributedOperatorImpl
+from .common import register_distributed_operator_impl_container
+from .common import register_distributed_operator_impl
+from .common import set_comm_op_dist_attr_for_program
+from .dist_default import DistributedDefaultImpl0
+from ..reshard import Resharder
+from ..process_group import new_process_group
+from ..utils import is_dim_shard, is_dim_replicate, _get_corresponding_rank
+from ..utils import compute_compatible_dim_mapping, set_dist_op_desc_original_id, _get_comm_group
+from ..dist_attribute import TensorDistributedAttribute, OperatorDistributedAttribute
+
+from paddle.fluid import core, unique_name
+from paddle.fluid.framework import Operator
+from paddle.fluid.layer_helper import LayerHelper
+from paddle.fluid.data_feeder import check_variable_and_dtype, check_dtype
+
+
+class DistributedPNorm(DistributedOperatorImplContainer):
+    def __init__(self, op_type):
+        super(DistributedPNorm, self).__init__(op_type)
+
+
+register_distributed_operator_impl_container(DistributedPNorm("p_norm"))
+
+
+def _insert_fill_constant_op(block, op_role):
+    """Insert fill constant op into block at the given index."""
+    helper = LayerHelper("fill_constant", **locals())
+    with paddle.static.program_guard(block.program):
+        out = helper.create_variable_for_type_inference(dtype="int32")
+    inputs = {}
+    attrs = {'force_cpu': False}
+    attrs['str_value'] = str(int("1"))
+    attrs['value'] = int("1")
+    attrs['dtype'] = out.dtype
+    attrs['op_role'] = op_role
+    utils.get_shape_tensor_inputs(
+        inputs=inputs, attrs=attrs, shape=[0], op_type='fill_constant')
+    fill_constant_op = block.append_op(
+        type='fill_constant',
+        inputs=inputs,
+        outputs={'Out': [out]},
+        attrs=attrs)
+    out.stop_gradient = True
+    return out, fill_constant_op
+
+
+# Row Parallel
+class DistributedPNormImpl(DistributedOperatorImpl):
+    def __init__(self, name):
+        super(DistributedPNormImpl, self).__init__(name)
+        self._forward_implemented = True
+        self._backward_implemented = True
+
+    def is_input_compatible(self, dist_op):
+        op_desc = dist_op.serial_op.desc
+        op_dist_attr = dist_op.dist_attr
+        x_name = op_desc.input('X')[0]
+        x_dims_mapping = op_dist_attr.get_input_dims_mapping(x_name)
+        if is_dim_replicate(x_dims_mapping[0]):
+            return False
+        # Other dimensions must be replicate except the batch dimension
+        for mapping in x_dims_mapping[1:]:
+            if is_dim_shard(mapping):
+                return False
+        return True
+
+    def is_output_compatible(self, dist_op):
+        return True
+
+    def is_compatible(self, dist_op):
+        if (not self.is_input_compatible(dist_op)) or \
+            (not self.is_output_compatible(dist_op)):
+            return False
+        return True
+
+    def is_auto_compatible(self, dist_op):
+        if (not self.is_input_compatible(dist_op)) or \
+            (not self.is_output_compatible(dist_op)) or \
+            (not self.is_compatible(dist_op)):
+            return False
+        return True
+
+    def update_dims_mapping(self, dist_op):
+        changed = False
+        op_desc = dist_op.serial_op.desc
+        op_dist_attr = dist_op.dist_attr
+
+        batch_dim_mappings = []
+        for arg_name in op_desc.input_arg_names():
+            dims_mapping = op_dist_attr.get_input_dims_mapping(arg_name)
+            if len(dims_mapping) >= 1:
+                batch_dim_mappings.append(dims_mapping[0])
+        for arg_name in op_desc.output_arg_names():
+            dims_mapping = op_dist_attr.get_output_dims_mapping(arg_name)
+            if len(dims_mapping) >= 1:
+                batch_dim_mappings.append(dims_mapping[0])
+
+        compatible_dim_mapping = compute_compatible_dim_mapping(
+            batch_dim_mappings)
+        assert compatible_dim_mapping is not None, "There is no compatible dim mapping."
+
+        for arg_name in op_desc.input_arg_names():
+            dims_mapping = op_dist_attr.get_input_dims_mapping(arg_name)
+            if len(dims_mapping
+                   ) >= 1 and compatible_dim_mapping != dims_mapping[0]:
+                dims_mapping[0] = compatible_dim_mapping
+                changed = True
+        for arg_name in op_desc.output_arg_names():
+            dims_mapping = op_dist_attr.get_output_dims_mapping(arg_name)
+            if len(dims_mapping
+                   ) >= 1 and compatible_dim_mapping != dims_mapping[0]:
+                dims_mapping[0] = compatible_dim_mapping
+                changed = True
+
+        return changed
+
+    @staticmethod
+    def forward(ctx, *args, **kwargs):
+
+        dist_op_context = ctx.dist_op_context
+        main_block = dist_op_context.work_block
+        src_op = dist_op_context.cur_src_op
+        rank_id = dist_op_context.rank_id
+        op_dist_attr = ctx.get_op_dist_attr_for_program(src_op)
+        assert op_dist_attr is not None
+
+        # check validation of inputs / outputs
+        for input_name in src_op.desc.input_names():
+            assert input_name in kwargs, "input [{}] is not given".format(
+                input_name)
+            assert len(kwargs[input_name]) == len(
+                src_op.desc.input(input_name)
+            ), "number of tensor for input [{}] is not match".format(input_name)
+        for output_name in src_op.desc.output_names():
+            assert output_name in kwargs, "input [{}] is not given".format(
+                output_name)
+            assert len(kwargs[output_name]) == len(
+                src_op.desc.output(output_name)
+            ), "number of tensor for input [{}] is not match".format(
+                output_name)
+
+        if rank_id not in op_dist_attr.process_mesh.processes:
+            rank_id = _get_corresponding_rank(ctx, op_dist_attr.process_mesh,
+                                              rank_id)
+
+        X_var = main_block.var(kwargs['X'][0])
+        in_dims_mapping = op_dist_attr.get_input_dims_mapping(X_var.name)
+        for axis in range(len(in_dims_mapping)):
+            if in_dims_mapping[axis] != -1:
+                break
+        process_mesh_shape = op_dist_attr.process_mesh.topology
+        process_mesh_group = op_dist_attr.process_mesh.processes
+        group_ranks = _get_comm_group(process_mesh_group, process_mesh_shape,
+                                      axis, rank_id)
+        group = new_process_group(group_ranks)
+
+        check_variable_and_dtype(X_var, 'x', ['float16', 'float32', 'float64'],
+                                 'norm')
+        check_dtype(X_var.dtype, 'dtype', ['float16', 'float32', 'float64'],
+                    'norm')
+
+        # 1. insert barrier op
+        ref_process_mesh = op_dist_attr.process_mesh
+        constant_out_dims_mapping = [-1]
+        fill_constant_out, fill_constant_op = _insert_fill_constant_op(
+            main_block, src_op.attr('op_role'))
+        # set fill_constant_out tensor dist_attr
+        constant_out_dist_attr = TensorDistributedAttribute()
+        constant_out_dist_attr.process_mesh = ref_process_mesh
+        constant_out_dist_attr.dims_mapping = constant_out_dims_mapping
+        ctx.set_tensor_dist_attr_for_program(fill_constant_out,
+                                             constant_out_dist_attr)
+        # set fill_constant op dist_attr
+        constant_op_dist_attr = OperatorDistributedAttribute()
+        constant_op_dist_attr.process_mesh = ref_process_mesh
+        constant_op_dist_attr.set_output_dims_mapping(fill_constant_out.name,
+                                                      constant_out_dims_mapping)
+        ctx.set_op_dist_attr_for_program(fill_constant_op,
+                                         constant_op_dist_attr)
+        barrier_op = main_block.append_op(
+            type='barrier',
+            inputs={'X': [fill_constant_out]},
+            outputs={'Out': [fill_constant_out]},
+            attrs={'ring_id': group.id})
+        # set barrier op dist attr
+        set_comm_op_dist_attr_for_program(barrier_op, ref_process_mesh,
+                                          constant_out_dist_attr, ctx)
+
+        # 2. insert c_allgather op
+        # create c_allgather output var
+        allgather_out = main_block.create_var(
+            name=".".join(["c_allgather", X_var.name]),
+            dtype=X_var.dtype,
+            shape=X_var.shape,
+            type=core.VarDesc.VarType.LOD_TENSOR,
+            persistable=False,
+            stop_gradient=X_var.stop_gradient)
+        # set allgather_out tensor dist_attr
+        allgather_out_dist_attr = TensorDistributedAttribute()
+        allgather_out_dist_attr.process_mesh = op_dist_attr.process_mesh
+        allgather_out_dist_attr.dims_mapping = [
+            -1 for i in range(len(allgather_out.shape))
+        ]
+        ctx.set_tensor_dist_attr_for_program(allgather_out,
+                                             allgather_out_dist_attr)
+        c_allgather_op = main_block.append_op(
+            type='c_allgather',
+            inputs={'X': [X_var]},
+            outputs={'Out': [allgather_out]},
+            attrs={
+                'ring_id': group.id,
+                'use_calc_stream': True,
+                'nranks': group.nranks,
+                'op_role': src_op.attr('op_role')
+            })
+        # set c_allgather op dist_attr
+        allgather_op_dist_attr = OperatorDistributedAttribute()
+        allgather_op_dist_attr.process_mesh = op_dist_attr.process_mesh
+        allgather_op_dist_attr.set_input_dims_mapping(X_var.name,
+                                                      in_dims_mapping)
+        allgather_op_dist_attr.set_output_dims_mapping(
+            allgather_out.name, allgather_out_dist_attr.dims_mapping)
+        ctx.set_op_dist_attr_for_program(c_allgather_op, allgather_op_dist_attr)
+
+        # 3. copy p_norm op desc and reset input name
+        # rename input
+        kwargs['X'] = [allgather_out.name]
+        # replicate op in dist program
+        dist_op_desc = main_block.desc.append_op()
+        dist_op_desc.copy_from(src_op.desc)
+        set_dist_op_desc_original_id(dist_op_desc, src_op.desc, ctx)
+        for input_name in src_op.desc.input_names():
+            dist_op_desc.set_input(input_name, kwargs[input_name])
+        for output_name in src_op.desc.output_names():
+            dist_op_desc.set_output(output_name, kwargs[output_name])
+        pnorm_op = Operator(main_block, dist_op_desc)
+        op_dist_attr.set_input_dims_mapping(
+            allgather_out.name, allgather_out_dist_attr.dims_mapping)
+        ctx.set_op_dist_attr_for_program(pnorm_op, op_dist_attr)
+
+        main_block._sync_with_cpp()
+
+    @staticmethod
+    def backward(ctx, *args, **kwargs):
+
+        dist_op_context = ctx.dist_op_context
+        main_block = dist_op_context.work_block
+        backward_op = dist_op_context.cur_src_op
+        rank_id = dist_op_context.rank_id
+        op_dist_attr = ctx.get_op_dist_attr_for_program(backward_op)
+        assert op_dist_attr is not None
+
+        # check validation of inputs / outputs
+        for input_name in backward_op.desc.input_names():
+            assert input_name in kwargs, "input [{}] is not given".format(
+                input_name)
+            assert len(kwargs[input_name]) == len(
+                backward_op.desc.input(input_name)
+            ), "number of tensor for input [{}] is not match".format(input_name)
+        for output_name in backward_op.desc.output_names():
+            assert output_name in kwargs, "input [{}] is not given".format(
+                output_name)
+            assert len(kwargs[output_name]) == len(
+                backward_op.desc.output(output_name)
+            ), "number of tensor for input [{}] is not match".format(
+                output_name)
+
+        X_var = main_block.var(kwargs['X'][0])
+        X_grad_var = main_block.var(kwargs['X@GRAD'][0])
+
+        # 1. copy p_norm_grad op and reset input name and output name
+        new_kwargs = copy.deepcopy(kwargs)
+        new_kwargs['X'] = [".".join(["c_allgather", X_var.name])]
+        new_X_var = main_block.var(new_kwargs['X'][0])
+        new_X_grad = main_block.create_var(
+            name=".".join(["c_allgather", X_grad_var.name]),
+            dtype=X_grad_var.dtype,
+            shape=new_X_var.shape,
+            type=core.VarDesc.VarType.LOD_TENSOR,
+            persistable=False,
+            stop_gradient=X_grad_var.stop_gradient)
+        new_kwargs['X@GRAD'] = [new_X_grad.name]
+        new_X_var_dist_attr = ctx.get_tensor_dist_attr_for_program(new_X_var)
+        ctx.set_tensor_dist_attr_for_program(new_X_grad, new_X_var_dist_attr)
+        # replicate op in dist program with new kwargs
+        dist_op_desc = main_block.desc.append_op()
+        dist_op_desc.copy_from(backward_op.desc)
+        # Refer to the related dist op
+        set_dist_op_desc_original_id(dist_op_desc, backward_op.desc, ctx)
+        for input_name in backward_op.desc.input_names():
+            dist_op_desc.set_input(input_name, new_kwargs[input_name])
+        for output_name in backward_op.desc.output_names():
+            dist_op_desc.set_output(output_name, new_kwargs[output_name])
+        p_norm_grad_op = Operator(main_block, dist_op_desc)
+        op_dist_attr.set_input_dims_mapping(new_X_var.name,
+                                            new_X_var_dist_attr.dims_mapping)
+        op_dist_attr.set_output_dims_mapping(new_X_grad.name,
+                                             new_X_var_dist_attr.dims_mapping)
+        ctx.set_op_dist_attr_for_program(p_norm_grad_op, op_dist_attr)
+        main_block._sync_with_cpp()
+
+        # 2. insert slice op
+        process_mesh_shape = op_dist_attr.process_mesh.topology
+        process_mesh_group = op_dist_attr.process_mesh.processes
+        dims_mapping = [0] + [-1 for _ in range(len(new_X_grad.shape) - 1)]
+        partition_idx = Resharder.compute_partition_index(
+            rank_id, new_X_grad.shape, dims_mapping, process_mesh_shape,
+            process_mesh_group)
+        slice_starts = []
+        slice_ends = []
+        slices_axes = []
+        for idx, item in enumerate(partition_idx):
+            slice_starts.append(item[0])
+            slice_ends.append(item[1])
+            slices_axes.append(idx)
+
+        infer_flags = list(1 for i in range(len(slices_axes)))
+        attrs = {
+            "axes": slices_axes,
+            "starts": slice_starts,
+            "ends": slice_ends,
+            "infer_flags": infer_flags,
+            "op_role": backward_op.attr('op_role')
+        }
+        slice_op = main_block.append_op(
+            type='slice',
+            inputs={'Input': [new_X_grad]},
+            outputs={'Out': [X_grad_var]},
+            attrs=attrs)
+        X_grad_var_dims_mapping = op_dist_attr.get_output_dims_mapping(
+            X_grad_var.name)
+        slice_op_dist_attr = OperatorDistributedAttribute()
+        slice_op_dist_attr.process_mesh = op_dist_attr.process_mesh
+        slice_op_dist_attr.set_input_dims_mapping(
+            new_X_grad.name, new_X_var_dist_attr.dims_mapping)
+        slice_op_dist_attr.set_output_dims_mapping(X_grad_var.name,
+                                                   X_grad_var_dims_mapping)
+        ctx.set_op_dist_attr_for_program(slice_op, slice_op_dist_attr)
+        main_block._sync_with_cpp()
+
+
+register_distributed_operator_impl("p_norm",
+                                   DistributedPNormImpl("row_parallel"))
diff --git a/python/paddle/fluid/tests/unittests/auto_parallel/CMakeLists.txt b/python/paddle/fluid/tests/unittests/auto_parallel/CMakeLists.txt
index 46b1cffa54394aa01501e995c1512773e1197197..3bbc15ca0cbbd53dde59e9371d6298153b14310e 100644
--- a/python/paddle/fluid/tests/unittests/auto_parallel/CMakeLists.txt
+++ b/python/paddle/fluid/tests/unittests/auto_parallel/CMakeLists.txt
@@ -18,6 +18,7 @@ if(WITH_DISTRIBUTE AND WITH_GPU)
     py_test_modules(test_recorder MODULES test_recorder ENVS ${dist_ENVS})
     py_test_modules(test_trial MODULES test_trial ENVS ${dist_ENVS})
     py_test_modules(test_new_cost_model MODULES test_new_cost_model ENVS ${dist_ENVS})
+    py_test_modules(test_dist_pnorm MODULES test_dist_pnorm ENVS ${dist_ENVS})
     py_test_modules(test_dist_slice MODULES test_dist_slice ENVS ${dist_ENVS})
     py_test_modules(test_cluster MODULES test_cluster ENVS ${dist_ENVS})
 endif()
diff --git a/python/paddle/fluid/tests/unittests/auto_parallel/test_dist_pnorm.py b/python/paddle/fluid/tests/unittests/auto_parallel/test_dist_pnorm.py
new file mode 100644
index 0000000000000000000000000000000000000000..946f33b7e4f3160cf3201c6db945935cffe82fa3
--- /dev/null
+++ b/python/paddle/fluid/tests/unittests/auto_parallel/test_dist_pnorm.py
@@ -0,0 +1,127 @@
+# Copyright (c) 2022 PaddlePaddle Authors. All Rights Reserved.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+#     http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import unittest
+import paddle
+import paddle.distributed.auto_parallel as auto
+
+from paddle.fluid import program_guard
+from paddle.fluid.backward import append_backward
+from paddle.distributed.auto_parallel.utils import print_program_with_dist_attr
+
+paddle.enable_static()
+
+
+def make_program_dp2():
+    main_program = paddle.fluid.Program()
+    start_program = paddle.fluid.Program()
+    with paddle.static.program_guard(main_program, start_program):
+        x = paddle.static.data(name='x', shape=[4, 5, 6], dtype='float32')
+        x.stop_gradient = False
+        auto.shard_tensor(
+            x,
+            dist_attr={
+                "process_mesh": auto.ProcessMesh([0, 1]),
+                "dims_mapping": [0, -1, -1]
+            })
+        tmp_0 = paddle.norm(x, p=2)
+    return main_program, start_program, tmp_0
+
+
+def make_program_serial():
+    main_program = paddle.fluid.Program()
+    start_program = paddle.fluid.Program()
+    with paddle.static.program_guard(main_program, start_program):
+        x = paddle.static.data(name='x', shape=[4, 5, 6], dtype='float32')
+        x.stop_gradient = False
+        auto.shard_tensor(
+            x,
+            dist_attr={
+                "process_mesh": auto.ProcessMesh([0]),
+                "dims_mapping": [-1, -1, -1]
+            })
+        tmp_0 = paddle.norm(x, p=2)
+    return main_program, start_program, tmp_0
+
+
+def parallelizer(program_func, rank):
+    from paddle.distributed.auto_parallel.completion import Completer
+    from paddle.distributed.auto_parallel.partitioner import Partitioner
+    from paddle.distributed.auto_parallel.dist_context import DistributedContext
+
+    main_program, start_program, loss = program_func()
+
+    dist_context = DistributedContext()
+    completer = Completer(dist_context)
+    completer.complete_forward_annotation(main_program)
+    dist_context.block_state.parse_forward_blocks(main_program)
+
+    with program_guard(main_program, start_program):
+        params_grads = append_backward(
+            loss, distop_context=dist_context.dist_op_context)
+    completer.complete_backward_annotation(main_program)
+
+    dist_context.block_state.parse_backward_blocks(main_program)
+    partitioner = Partitioner(dist_context, rank)
+    dist_main_prog, _, _ = partitioner.partition(main_program, start_program,
+                                                 [])
+
+    return dist_main_prog, dist_context
+
+
+class TestDistPNorm(unittest.TestCase):
+    def test_dist_pnorm_dp2(self):
+
+        for rank in range(2):
+            dist_main_prog, dist_context = parallelizer(make_program_dp2, rank)
+            ops = dist_main_prog.global_block().ops
+            op_types = []
+            for op in ops:
+                op_types.append(op.type)
+                op_dist_attr = dist_context.get_op_dist_attr_for_program(op)
+                if op.type == "p_norm":
+                    assert op_dist_attr.impl_type == "p_norm"
+                if op.type in ["p_norm", "p_norm_grad"]:
+                    for input_attr in op_dist_attr.inputs_dist_attrs.values():
+                        assert set(input_attr.dims_mapping) == set([-1])
+                    for output_attr in op_dist_attr.outputs_dist_attrs.values():
+                        assert set(output_attr.dims_mapping) == set([-1])
+                if op.type == 'c_allgather':
+                    for input_attr in op_dist_attr.inputs_dist_attrs.values():
+                        assert input_attr.dims_mapping[0] == 0
+                        assert set(input_attr.dims_mapping[1:]) == set([-1])
+                    for output_attr in op_dist_attr.outputs_dist_attrs.values():
+                        assert set(output_attr.dims_mapping) == set([-1])
+                if op.type == 'slice':
+                    for input_attr in op_dist_attr.inputs_dist_attrs.values():
+                        assert set(input_attr.dims_mapping) == set([-1])
+                    for output_attr in op_dist_attr.outputs_dist_attrs.values():
+                        assert output_attr.dims_mapping[0] == 0
+                        assert set(output_attr.dims_mapping[1:]) == set([-1])
+
+            assert op_types == [
+                "fill_constant", "barrier", "c_allgather", "p_norm",
+                "fill_constant", "p_norm_grad", "slice"
+            ]
+
+    def test_dist_pnorm_serial(self):
+        dist_main_prog, dist_context = parallelizer(make_program_serial, 0)
+        ops = dist_main_prog.global_block().ops
+        for op in ops:
+            op_dist_attr = dist_context.get_op_dist_attr_for_program(op)
+            assert op_dist_attr.impl_type == "default"
+
+
+if __name__ == "__main__":
+    unittest.main()