diff --git a/python/paddle/fluid/tests/unittests/test_poisson_nll_loss.py b/python/paddle/fluid/tests/unittests/test_poisson_nll_loss.py
new file mode 100644
index 0000000000000000000000000000000000000000..096018a6e2bf0b5e395a0ec37ea7b035ca57f846
--- /dev/null
+++ b/python/paddle/fluid/tests/unittests/test_poisson_nll_loss.py
@@ -0,0 +1,248 @@
+#   Copyright (c) 2023 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 numpy as np
+
+import paddle
+import paddle.nn.functional as F
+from paddle.fluid import core
+
+np.random.seed(100)
+
+
+def ref_poisson_nll_loss(
+    input,
+    label,
+    log_input=True,
+    full=False,
+    epsilon=1e-8,
+    reduction="mean",
+):
+    if epsilon <= 0:
+        raise ValueError(
+            "The value of `epsilon` in PoissonNLLLoss should be positve, but received %f, which is not allowed"
+            % epsilon
+        )
+
+    if reduction not in ['sum', 'mean', 'none']:
+        raise ValueError(
+            "The value of 'reduction' in SoftMarginLoss should be 'sum', 'mean' or 'none', but "
+            "received %s, which is not allowed." % reduction
+        )
+    loss_out = 0
+    if log_input:
+        loss_out = np.exp(input) - label * input
+    else:
+        loss_out = input - label * np.log(input + epsilon)
+    if full:
+        stirling_approx = (
+            label * np.log(label) - label + 0.5 * np.log(2 * np.pi * label)
+        )
+        loss_out += np.where(stirling_approx <= 1, 0, stirling_approx)
+
+    if reduction == 'none':
+        return loss_out
+    elif reduction == 'sum':
+        return [np.sum(loss_out)]
+    elif reduction == 'mean':
+        return [np.mean(loss_out)]
+
+
+class TestPoissonNLLLossBasicCase(unittest.TestCase):
+    def setUp(self, dtype="float32"):
+        self.shape = [10, 2]
+        self.dtype = dtype
+        self.input_np = np.random.random(self.shape).astype(self.dtype)
+        self.label_np = np.random.random(self.shape).astype(self.dtype)
+        self.place = (
+            paddle.CUDAPlace(0)
+            if core.is_compiled_with_cuda()
+            else paddle.CPUPlace()
+        )
+
+    def test_static_case(
+        self,
+        dtype="float32",
+        log_input=True,
+        full=False,
+        epsilon=1e-8,
+        reduction="mean",
+    ):
+        self.setUp(dtype)
+        paddle.enable_static()
+        prog = paddle.static.Program()
+        startup_prog = paddle.static.Program()
+        with paddle.static.program_guard(prog, startup_prog):
+            input = paddle.static.data('input', self.shape, dtype)
+            label = paddle.static.data('label', self.shape, dtype)
+            input.desc.set_need_check_feed(False)
+            label.desc.set_need_check_feed(False)
+            out1 = F.poisson_nll_loss(
+                input,
+                label,
+                log_input=log_input,
+                full=full,
+                epsilon=epsilon,
+                reduction=reduction,
+            )
+            poisson_nll_loss = paddle.nn.PoissonNLLLoss(
+                log_input=log_input,
+                full=full,
+                epsilon=epsilon,
+                reduction=reduction,
+            )
+            out2 = poisson_nll_loss(input, label)
+        exe = paddle.static.Executor(self.place)
+        exe.run(startup_prog)
+        res = exe.run(
+            prog,
+            feed={'input': self.input_np, 'label': self.label_np},
+            fetch_list=[out1, out2],
+        )
+        out_ref = ref_poisson_nll_loss(
+            self.input_np,
+            self.label_np,
+            log_input=log_input,
+            full=full,
+            epsilon=epsilon,
+            reduction=reduction,
+        )
+        for r in res:
+            np.allclose(out_ref, r, rtol=1e-5)
+
+    def test_dynamic_case(
+        self,
+        dtype="float32",
+        log_input=True,
+        full=False,
+        epsilon=1e-8,
+        reduction="mean",
+        type=None,
+    ):
+        self.setUp(dtype)
+        paddle.disable_static(self.place)
+
+        input_x = paddle.to_tensor(self.input_np)
+        label = paddle.to_tensor(self.label_np)
+        out_ref = ref_poisson_nll_loss(
+            self.input_np,
+            self.label_np,
+            log_input=log_input,
+            full=full,
+            epsilon=epsilon,
+            reduction=reduction,
+        )
+        out1 = F.poisson_nll_loss(
+            input_x,
+            label,
+            log_input=log_input,
+            full=full,
+            epsilon=epsilon,
+            reduction=reduction,
+        )
+        if type == 'test_err_reduction':
+            self.assertRaises(
+                ValueError,
+                paddle.nn.functional.poisson_nll_loss,
+                input=input_x,
+                label=label,
+                log_input=log_input,
+                full=full,
+                epsilon=epsilon,
+                reduction="unsupport reduction",
+            )
+        elif type == 'test_err_epsilon':
+            self.assertRaises(
+                ValueError,
+                paddle.nn.functional.poisson_nll_loss,
+                input=input_x,
+                label=label,
+                log_input=log_input,
+                full=full,
+                epsilon=-1,
+                reduction="mean",
+            )
+        poisson_nll_loss = paddle.nn.PoissonNLLLoss(
+            log_input=log_input, full=full, epsilon=epsilon, reduction=reduction
+        )
+        out2 = poisson_nll_loss(input_x, label)
+
+        for r in [out1, out2]:
+            np.allclose(out_ref, r.numpy(), rtol=1e-5)
+        paddle.enable_static()
+
+    def test_api(self):
+        pass
+
+
+class TestPoissonNLLLossErrCase(TestPoissonNLLLossBasicCase):
+    def test_err_reduction(self):
+        self.test_dynamic_case(type="test_err_reduction")
+
+    def test_err_epsilon(self):
+        self.test_dynamic_case(type="test_err_epsilon")
+
+    def test_api(self):
+        self.test_err_reduction()
+        self.test_err_epsilon()
+
+
+class TestPoissonNLLLossFloat16Case(TestPoissonNLLLossBasicCase):
+    def test_api(self):
+        if core.is_compiled_with_cuda():
+            self.test_static_case(dtype="float16")
+            self.test_dynamic_case(dtype="float16")
+
+
+class TestPoissonNLLLossBfloat16Case(TestPoissonNLLLossBasicCase):
+    def test_api(self):
+        if core.is_compiled_with_cuda():
+            self.test_static_case(dtype="uint16")
+            self.test_dynamic_case(dtype="uint16")
+
+
+class TestPoissonNLLLossFloat32Case(TestPoissonNLLLossBasicCase):
+    def test_api(self):
+        self.test_static_case(dtype="float32")
+        self.test_dynamic_case(dtype="float32")
+
+
+class TestPoissonNLLLossFloat64Case(TestPoissonNLLLossBasicCase):
+    def test_api(self):
+        self.test_static_case(dtype="float64")
+        self.test_dynamic_case(dtype="float64")
+
+
+class TestPoissonNLLLossNoLoginputCase(TestPoissonNLLLossBasicCase):
+    def test_api(self):
+        self.test_static_case(log_input=False)
+        self.test_dynamic_case(log_input=False)
+
+
+class TestPoissonNLLLossFulllossCase(TestPoissonNLLLossBasicCase):
+    def test_api(self):
+        self.test_static_case(full=True)
+        self.test_dynamic_case(full=True)
+
+
+class TestPoissonNLLLossSumReductionCase(TestPoissonNLLLossBasicCase):
+    def test_api(self):
+        self.test_static_case(reduction="sum")
+        self.test_dynamic_case(reduction="sum")
+
+
+if __name__ == "__main__":
+    unittest.main()
diff --git a/python/paddle/nn/__init__.py b/python/paddle/nn/__init__.py
index 1b6cc3ae71ea8db984f36681673bdc8e47275fa4..fe7209ecf46dab6a465f8d895441e09b0d404ff8 100644
--- a/python/paddle/nn/__init__.py
+++ b/python/paddle/nn/__init__.py
@@ -100,6 +100,7 @@ from .layer.loss import HSigmoidLoss  # noqa: F401
 from .layer.loss import MSELoss  # noqa: F401
 from .layer.loss import L1Loss  # noqa: F401
 from .layer.loss import NLLLoss  # noqa: F401
+from .layer.loss import PoissonNLLLoss  # noqa: F401
 from .layer.loss import BCELoss  # noqa: F401
 from .layer.loss import KLDivLoss  # noqa: F401
 from .layer.loss import MarginRankingLoss  # noqa: F401
@@ -268,6 +269,7 @@ __all__ = [  # noqa
     'AdaptiveAvgPool3D',
     'AdaptiveMaxPool3D',
     'NLLLoss',
+    'PoissonNLLLoss',
     'Conv1D',
     'Sequential',
     'Hardswish',
diff --git a/python/paddle/nn/functional/__init__.py b/python/paddle/nn/functional/__init__.py
index 31d74225e1a70c1cb90031113afbb07a1561a34e..2a9d1390527c86f998b27e5ce7947c2891ed5723 100644
--- a/python/paddle/nn/functional/__init__.py
+++ b/python/paddle/nn/functional/__init__.py
@@ -83,6 +83,7 @@ from .loss import log_loss  # noqa: F401
 from .loss import margin_ranking_loss  # noqa: F401
 from .loss import mse_loss  # noqa: F401
 from .loss import nll_loss  # noqa: F401
+from .loss import poisson_nll_loss  # noqa: F401
 from .loss import npair_loss  # noqa: F401
 from .loss import sigmoid_focal_loss  # noqa: F401
 from .loss import smooth_l1_loss  # noqa: F401
@@ -214,6 +215,7 @@ __all__ = [  # noqa
     'margin_ranking_loss',
     'multi_label_soft_margin_loss',
     'nll_loss',
+    'poisson_nll_loss',
     'npair_loss',
     'sigmoid_focal_loss',
     'smooth_l1_loss',
diff --git a/python/paddle/nn/functional/loss.py b/python/paddle/nn/functional/loss.py
index 85c96de4bfbc79c94657111b576d787f93e7f80f..4b57c9d936123cadea979590fc0fa57b86073c8e 100644
--- a/python/paddle/nn/functional/loss.py
+++ b/python/paddle/nn/functional/loss.py
@@ -12,6 +12,8 @@
 # See the License for the specific language governing permissions and
 # limitations under the License.
 
+import math
+
 # TODO: define loss functions of neural network
 import paddle
 from paddle import _C_ops, _legacy_C_ops, fluid, in_dynamic_mode
@@ -1322,10 +1324,16 @@ def l1_loss(input, label, reduction='mean', name=None):
             return unreduced
     else:
         check_variable_and_dtype(
-            input, 'input', ['float32', 'float64', 'int32', 'int64'], 'l1_loss'
+            input,
+            'input',
+            ['float32', 'float64', 'int32', 'int64'],
+            'l1_loss',
         )
         check_variable_and_dtype(
-            label, 'label', ['float32', 'float64', 'int32', 'int64'], 'l1_loss'
+            label,
+            'label',
+            ['float32', 'float64', 'int32', 'int64'],
+            'l1_loss',
         )
 
         if reduction == 'sum':
@@ -1462,6 +1470,116 @@ def nll_loss(
         return out
 
 
+def poisson_nll_loss(
+    input,
+    label,
+    log_input=True,
+    full=False,
+    epsilon=1e-8,
+    reduction="mean",
+    name=None,
+):
+    r"""Poisson negative log likelihood loss.
+    See more detail in :ref:`PoissonNLLLoss <api_paddle_nn_PoissonNLLLoss>` .
+
+    Parameters:
+         input (Tensor):
+            Input tensor, expectation of underlying Poisson distribution.
+            The shape of input tensor should be `(N, *)` or `(*)` where `(*)` denotes any number of extra dimensions.
+            It's data type should be float16, bfloat16, float32, float64.
+         label (Tensor):
+            Label tensor, random sampled from Poisson distribution :math:`label \sim \text{Poisson}(input)`.
+            The shape of input tensor should be `(N, *)` or `(*)`, same shape as the input tensor.
+            It's data type should be float16, bfloat16, float32, float64.
+         log_input (bool, optional):
+            Whether to the treat input tensor as log input.
+            If ``True`` the loss is computed as, :math:`\exp(\text{input}) - \text{label} * \text{input}` .
+            If ``False`` then loss is :math:`\text{input} - \text{label} * \log(\text{input}+\text{epsilon})` .
+            Default: ``True``.
+         full (bool, optional):
+            Whether to compute full loss.
+            If ``True``, the Stirling approximation term is added.
+            If ``False``, the Stirling approximation is dropped.
+            Default: ``False``.
+         epsilon (float, optional):
+            A small value to avoid evaluation of :math:`\log(0)` when `log_input`\ =\ ``False``. ``epsilon > 0``.
+            Default: 1e-8.
+         reduction (str, optional):
+            Indicate how to reduce the loss, the candicates are ``'none'`` | ``'mean'`` | ``'sum'``.
+            If `reduction` is ``'mean'``, the reduced mean loss is returned;
+            if `reduction` is ``'sum'``, the reduced sum loss is returned;
+            if `reduction` is ``'none'``, no reduction will be apllied.
+            Default is ``'mean'``.
+         name (str, optional):
+            Name for the operation (optional, default is None). For more information, please refer to :ref:`api_guide_Name`.
+
+    Examples:
+        .. code-block:: python
+
+            import paddle
+            import paddle.nn.functional as F
+
+            input = paddle.randn([5, 2], dtype=paddle.float32)
+            label = paddle.randn([5, 2], dtype=paddle.float32)
+            loss = F.poisson_nll_loss(input, label, log_input=True, reduction='None')
+            print(loss)
+            loss = F.poisson_nll_loss(input, label, reduction='mean')
+            print(loss)
+
+    """
+    # check parameter values
+    if epsilon <= 0:
+        raise ValueError(
+            "The value of `epsilon` in poisson_nll_loss should be positve, but received %f, which is not allowed"
+            % epsilon
+        )
+
+    if reduction not in ['sum', 'mean', 'none']:
+        raise ValueError(
+            "The value of 'reduction' in poisson_nll_loss should be 'sum', 'mean' or 'none', but "
+            "received %s, which is not allowed." % reduction
+        )
+    # check input dtype and dimension
+    check_variable_and_dtype(
+        input,
+        'input',
+        ['float16', 'uint16', 'float32', 'float64'],
+        'poisson_nll_loss',
+    )
+    check_variable_and_dtype(
+        label,
+        'label',
+        ['float16', 'uint16', 'float32', 'float64'],
+        'poisson_nll_loss',
+    )
+
+    if not (input.shape == label.shape):
+        raise ValueError("input's shape must equal to label's shape")
+
+    label = paddle.cast(label, input.dtype)
+    loss_out = 0
+    if log_input:
+        loss_out = paddle.exp(input) - label * input
+    else:
+        loss_out = input - label * paddle.log(input + epsilon)
+    if full:
+        stirling_approx = (
+            label * paddle.log(label)
+            - label
+            + 0.5 * paddle.log(2 * math.pi * label)
+        )
+        loss_out += paddle.where(
+            stirling_approx <= 1,
+            paddle.zeros_like(stirling_approx),
+            stirling_approx,
+        )
+    if reduction == 'mean':
+        loss_out = paddle.mean(loss_out)
+    elif reduction == 'sum':
+        loss_out = paddle.sum(loss_out)
+    return loss_out
+
+
 def kl_div(input, label, reduction='mean', name=None):
     r"""
     Calculate the Kullback-Leibler divergence loss
diff --git a/python/paddle/nn/layer/__init__.py b/python/paddle/nn/layer/__init__.py
index b435a73e1d88a38e3ea5f7845d8b0d38a7ae628a..09b491b900d5ca0a0d332eda56aeab1f1286f535 100644
--- a/python/paddle/nn/layer/__init__.py
+++ b/python/paddle/nn/layer/__init__.py
@@ -72,6 +72,7 @@ from .loss import CrossEntropyLoss  # noqa: F401
 from .loss import MSELoss  # noqa: F401
 from .loss import L1Loss  # noqa: F401
 from .loss import NLLLoss  # noqa: F401
+from .loss import PoissonNLLLoss  # noqa: F401
 from .loss import BCELoss  # noqa: F401
 from .loss import KLDivLoss  # noqa: F401
 from .loss import MarginRankingLoss  # noqa: F401
diff --git a/python/paddle/nn/layer/loss.py b/python/paddle/nn/layer/loss.py
index 39c68120b6a83cb7055ba151f9d8ef03a2d48692..57ee00608cce1052e9605d06c9cf7e6965b44edc 100644
--- a/python/paddle/nn/layer/loss.py
+++ b/python/paddle/nn/layer/loss.py
@@ -882,6 +882,99 @@ class NLLLoss(Layer):
         )
 
 
+class PoissonNLLLoss(Layer):
+    r"""Generate a callable object of 'PoissonNLLLoss' to calculate the
+    Poisson negative log likelihood loss between Input(input) and
+    Input(label). Notes that Input(input) is the expectation of underlying
+    Poisson distribution and Input(label) is the random samples from the
+    Poisson distribution
+
+
+    Poisson negative log likelihood loss is calculated as follows:
+
+    .. math::
+        \text{loss}(\text{input}, \text{label}) = \text{input} - \text{label} * \log(\text{label}) + \log(\text{label!})
+
+    The last term can be approximated with Stirling formula. This approximation term is used when :attr:`full` is ``True``.
+    The approximation is added when label values are more than 1 and omitted when the labels are less than or equal to 1.
+
+    Parameters:
+         log_input (bool, optional):
+            Whether to the treat input tensor as log input.
+            If ``True`` the loss is computed as, :math:`\exp(\text{input}) - \text{label} * \text{input}` .
+            If ``False`` then loss is :math:`\text{input} - \text{label} * \log(\text{input}+\text{epsilon})` .
+            Default: ``True``.
+         full (bool, optional):
+            Whether to compute full loss.
+            If ``True``, the Stirling approximation term is added.
+            If ``False``, the Stirling approximation is dropped.
+            Default: ``False``.
+         epsilon (float, optional):
+            A small value to avoid evaluation of :math:`\log(0)` when ``log_input`` = ``False``. ``epsilon > 0``.
+            Default: 1e-8.
+         reduction (str, optional):
+            Indicate how to reduce the loss, the candicates are ``'none'`` | ``'mean'`` | ``'sum'``.
+            If `reduction` is ``'mean'``, the reduced mean loss is returned;
+            if `reduction` is ``'sum'``, the reduced sum loss is returned;
+            if `reduction` is ``'none'``, no reduction will be apllied.
+            Default is ``'mean'``.
+         name (str, optional):
+            Name for the operation (optional, default is None). For more information, please refer to :ref:`api_guide_Name`.
+
+    Shape:
+        - input (Tensor): The shape of input tensor should be `(N, *)` or `(*)` where `(*)` denotes any number of extra dimensions.
+        - label (Tensor): The shape of input tensor should be `(N, *)` or `(*)`, same shape as the input tensor.
+        - output (Tensor): scalar if :attr:`reduction` is ``'mean'`` (default) or ``'sum'``. If :attr:`reduction` is ``'none'``, then :math:`(N, *)`, same shape as the input
+
+    Examples:
+        .. code-block:: python
+
+            import paddle
+
+            poisson_nll_loss = paddle.nn.loss.PoissonNLLLoss()
+            input = paddle.randn([5, 2], dtype=paddle.float32)
+            label = paddle.randn([5, 2], dtype=paddle.float32)
+            loss = poisson_nll_loss(input, label)
+
+    """
+
+    def __init__(
+        self,
+        log_input=True,
+        full=False,
+        epsilon=1e-8,
+        reduction="mean",
+        name=None,
+    ):
+        if epsilon <= 0:
+            raise ValueError(
+                "The value of `epsilon` in PoissonNLLLoss should be positve, but received %f, which is not allowed"
+                % epsilon
+            )
+        if reduction not in ['sum', 'mean', 'none']:
+            raise ValueError(
+                "The value of 'reduction' in PoissonNLLLoss should be 'sum', 'mean' or 'none', but "
+                "received %s, which is not allowed." % reduction
+            )
+        super().__init__()
+        self._log_input = log_input
+        self._full = full
+        self._epsilon = epsilon
+        self._reduction = reduction
+        self._name = name
+
+    def forward(self, input, label):
+        return F.poisson_nll_loss(
+            input,
+            label,
+            log_input=self._log_input,
+            full=self._full,
+            epsilon=self._epsilon,
+            reduction=self._reduction,
+            name=self._name,
+        )
+
+
 class KLDivLoss(Layer):
     r"""
 
diff --git a/python/paddle/tensor/math.py b/python/paddle/tensor/math.py
index 7c01c3109179837b4213c5e388bd7048a1a95fdf..ba7efb7956f77d3aaedd5df313f5dbb08d0c2c1b 100644
--- a/python/paddle/tensor/math.py
+++ b/python/paddle/tensor/math.py
@@ -159,7 +159,7 @@ def log(x, name=None):
         return _C_ops.log(x)
     else:
         check_variable_and_dtype(
-            x, 'x', ['float16', 'float32', 'float64'], "log"
+            x, 'x', ['uint16', 'float16', 'float32', 'float64'], "log"
         )
         inputs = {'X': [x]}
         helper = LayerHelper('log', **locals())
diff --git a/python/paddle/tensor/ops.py b/python/paddle/tensor/ops.py
index 7fef070b42c2336fb76fa1dbbecbf790f6d7a0f4..c8cdb4e4b4e305847574aef6a1b2c8209d20f497 100644
--- a/python/paddle/tensor/ops.py
+++ b/python/paddle/tensor/ops.py
@@ -565,6 +565,7 @@ def exp(x, name=None):
             [
                 'int32',
                 'int64',
+                'uint16',
                 'float16',
                 'float32',
                 'float64',