diff --git a/python/paddle/fluid/executor.py b/python/paddle/fluid/executor.py
index 867b40c1fe094503436938d539bf45fcdf03f9b3..bbdf6002279f22515c3e3f808701322afaeefaf8 100755
--- a/python/paddle/fluid/executor.py
+++ b/python/paddle/fluid/executor.py
@@ -1413,7 +1413,11 @@ class Executor(object):
                 if program._is_inference:
                     return False
 
-                # Unsupported case 5 : disabled by FLAGS_CONVERT_GRAPH_TO_PROGRAM
+                # Unsupported case 5: CUDA Graph
+                if program._build_strategy is not None and program._build_strategy.allow_cuda_graph_capture:
+                    return False
+
+                # Unsupported case 6 : disabled by FLAGS_CONVERT_GRAPH_TO_PROGRAM
                 if os.environ.get('FLAGS_CONVERT_GRAPH_TO_PROGRAM',
                                   None) not in [1, '1', True, 'True', 'true']:
                     return False