diff --git a/sot/opcode_translator/executor/function_graph.py b/sot/opcode_translator/executor/function_graph.py
index a8b0760ac..21f47e8e2 100644
--- a/sot/opcode_translator/executor/function_graph.py
+++ b/sot/opcode_translator/executor/function_graph.py
@@ -271,4 +271,6 @@ def _find_tensor_outputs(
                 output.tracker, DummyTracker
             ):
                 output_tensors.append(output)
+            else:
+                self.add_global_guarded_variable(output)
         return output_tensors
diff --git a/tests/test_guard_outputs.py b/tests/test_guard_outputs.py
new file mode 100644
index 000000000..6c569d115
--- /dev/null
+++ b/tests/test_guard_outputs.py
@@ -0,0 +1,49 @@
+from __future__ import annotations
+
+import unittest
+
+from test_case_base import (
+    TestCaseBase,
+    test_instruction_translator_cache_context,
+)
+
+import paddle
+
+
+def non_operator_related_fn(x: int, y: int):
+    return x + y
+
+
+def partial_non_operator_related_fn(x: paddle.Tensor, y: paddle.Tensor, z: int):
+    a = x + y
+    return [a, z + z]
+
+
+class TestGuardOutputs(TestCaseBase):
+    def test_non_operator_related_fn(self):
+        with test_instruction_translator_cache_context() as ctx:
+            self.assert_results(non_operator_related_fn, 1, 2)
+            self.assertEqual(ctx.translate_count, 1)
+            self.assert_results(non_operator_related_fn, 3, 4)
+            self.assertEqual(ctx.translate_count, 2)
+
+    def test_partial_non_operator_related_fn(self):
+        with test_instruction_translator_cache_context() as ctx:
+            self.assert_results(
+                partial_non_operator_related_fn,
+                paddle.to_tensor(1),
+                paddle.to_tensor(2),
+                3,
+            )
+            self.assertEqual(ctx.translate_count, 1)
+            self.assert_results(
+                partial_non_operator_related_fn,
+                paddle.to_tensor(4),
+                paddle.to_tensor(5),
+                6,
+            )
+            self.assertEqual(ctx.translate_count, 2)
+
+
+if __name__ == "__main__":
+    unittest.main()