diff --git a/clang/lib/DPCT/RulesLang/APINamesGraph.inc b/clang/lib/DPCT/RulesLang/APINamesGraph.inc
index 75996e10fe90..566460c831b6 100644
--- a/clang/lib/DPCT/RulesLang/APINamesGraph.inc
+++ b/clang/lib/DPCT/RulesLang/APINamesGraph.inc
@@ -97,3 +97,10 @@ ASSIGNABLE_FACTORY(CONDITIONAL_FACTORY_ENTRY(
                             Diagnostics::TRY_EXPERIMENTAL_FEATURE,
                             ARG("cudaGraphGetRootNodes"),
                             ARG("--use-experimental-features=graph"))))
+
+ASSIGNABLE_FACTORY(CONDITIONAL_FACTORY_ENTRY(
+    UseExtGraph, DELETE_FACTORY_ENTRY("cudaGraphDestroy", ARG(0)),
+    UNSUPPORT_FACTORY_ENTRY("cudaGraphDestroy",
+                            Diagnostics::TRY_EXPERIMENTAL_FEATURE,
+                            ARG("cudaGraphDestroy"),
+                            ARG("--use-experimental-features=graph"))))
diff --git a/clang/lib/DPCT/RulesLang/RulesLangGraph.cpp b/clang/lib/DPCT/RulesLang/RulesLangGraph.cpp
index de375dc51b36..892a71e34d9c 100644
--- a/clang/lib/DPCT/RulesLang/RulesLangGraph.cpp
+++ b/clang/lib/DPCT/RulesLang/RulesLangGraph.cpp
@@ -34,7 +34,7 @@ void GraphRule::registerMatcher(MatchFinder &MF) {
                       "cudaGraphExecDestroy", "cudaGraphAddEmptyNode",
                       "cudaGraphAddDependencies", "cudaGraphExecUpdate",
                       "cudaGraphNodeGetType", "cudaGraphGetNodes",
-                      "cudaGraphGetRootNodes");
+                      "cudaGraphGetRootNodes", "cudaGraphDestroy");
   };
   MF.addMatcher(
       callExpr(callee(functionDecl(functionName()))).bind("FunctionCall"),
diff --git a/clang/lib/DPCT/SrcAPI/APINames.inc b/clang/lib/DPCT/SrcAPI/APINames.inc
index 41d9349f38d5..266afea31cf9 100644
--- a/clang/lib/DPCT/SrcAPI/APINames.inc
+++ b/clang/lib/DPCT/SrcAPI/APINames.inc
@@ -419,7 +419,7 @@ ENTRY(cudaGraphClone, cudaGraphClone, false, NO_FLAG, P4, "comment")
 ENTRY(cudaGraphConditionalHandleCreate, cudaGraphConditionalHandleCreate, false, NO_FLAG, P4, "comment")
 ENTRY(cudaGraphCreate, cudaGraphCreate, false, NO_FLAG, P4, "comment")
 ENTRY(cudaGraphDebugDotPrint, cudaGraphDebugDotPrint, false, NO_FLAG, P4, "comment")
-ENTRY(cudaGraphDestroy, cudaGraphDestroy, false, NO_FLAG, P4, "comment")
+ENTRY(cudaGraphDestroy, cudaGraphDestroy, true, NO_FLAG, P4, "Successful/DPCT1119")
 ENTRY(cudaGraphDestroyNode, cudaGraphDestroyNode, false, NO_FLAG, P4, "comment")
 ENTRY(cudaGraphEventRecordNodeGetEvent, cudaGraphEventRecordNodeGetEvent, false, NO_FLAG, P4, "comment")
 ENTRY(cudaGraphEventRecordNodeSetEvent, cudaGraphEventRecordNodeSetEvent, false, NO_FLAG, P4, "comment")
diff --git a/clang/test/dpct/cudaGraph_test.cu b/clang/test/dpct/cudaGraph_test.cu
index 2b02f4c4f24e..f0b5742386f7 100644
--- a/clang/test/dpct/cudaGraph_test.cu
+++ b/clang/test/dpct/cudaGraph_test.cu
@@ -141,5 +141,12 @@ int main() {
   cudaGraphExecDestroy(**execGraph3);
   CUDA_CHECK_THROW(cudaGraphExecDestroy(**execGraph3));
 
+  // CHECK: delete (graph);
+  // CHECK-NEXT: delete (*graph2);
+  // CHECK-NEXT: CUDA_CHECK_THROW(DPCT_CHECK_ERROR(delete (**graph3)));
+  cudaGraphDestroy(graph);
+  cudaGraphDestroy(*graph2);
+  CUDA_CHECK_THROW(cudaGraphDestroy(**graph3));
+
   return 0;
 }
diff --git a/clang/test/dpct/cudaGraph_test_default_option.cu b/clang/test/dpct/cudaGraph_test_default_option.cu
index f17d48f5da3e..79029603d65c 100644
--- a/clang/test/dpct/cudaGraph_test_default_option.cu
+++ b/clang/test/dpct/cudaGraph_test_default_option.cu
@@ -121,6 +121,11 @@ int main() {
   // CHECK-NEXT: */
   nodeType = cudaGraphNodeTypeKernel;
 
+  // CHECK: /*
+  // CHECK-NEXT: DPCT1119:{{[0-9]+}}: Migration of cudaGraphDestroy is not supported, please try to remigrate with option: --use-experimental-features=graph.
+  // CHECK-NEXT: */
+  cudaGraphDestroy(graph);
+
   return 0;
 }