diff --git a/source/tests/common/dpmodel/test_descriptor_se_r.py b/source/tests/common/dpmodel/test_descriptor_se_r.py
new file mode 100644
index 0000000000..61b7f0c7d0
--- /dev/null
+++ b/source/tests/common/dpmodel/test_descriptor_se_r.py
@@ -0,0 +1,35 @@
+# SPDX-License-Identifier: LGPL-3.0-or-later
+import unittest
+
+import numpy as np
+
+from deepmd.dpmodel.descriptor import (
+    DescrptSeR,
+)
+
+from .case_single_frame_with_nlist import (
+    TestCaseSingleFrameWithNlist,
+)
+
+
+class TestDescrptSeR(unittest.TestCase, TestCaseSingleFrameWithNlist):
+    def setUp(self):
+        TestCaseSingleFrameWithNlist.setUp(self)
+
+    def test_self_consistency(
+        self,
+    ):
+        rng = np.random.default_rng()
+        nf, nloc, nnei = self.nlist.shape
+        davg = rng.normal(size=(self.nt, nnei, 1))
+        dstd = rng.normal(size=(self.nt, nnei, 1))
+        dstd = 0.1 + np.abs(dstd)
+
+        em0 = DescrptSeR(self.rcut, self.rcut_smth, self.sel)
+        em0.davg = davg
+        em0.dstd = dstd
+        em1 = DescrptSeR.deserialize(em0.serialize())
+        mm0 = em0.call(self.coord_ext, self.atype_ext, self.nlist)
+        mm1 = em1.call(self.coord_ext, self.atype_ext, self.nlist)
+        for ii in [0, 4]:
+            np.testing.assert_allclose(mm0[ii], mm1[ii])