diff --git a/Lib/test/test_ctypes/test_numbers.py b/Lib/test/test_ctypes/test_numbers.py
index b7df08f6079cd31..64bd0919d193353 100644
--- a/Lib/test/test_ctypes/test_numbers.py
+++ b/Lib/test/test_ctypes/test_numbers.py
@@ -231,6 +231,8 @@ def test_init(self):
         # probably be changed:
         self.assertRaises(TypeError, c_int, c_long(42))
 
+    @unittest.skipUnless(hasattr(ctypes, "c_double_complex"),
+                         "requires C11 complex type")
     def test_float_overflow(self):
         big_int = int(sys.float_info.max) * 2
         for t in float_types + [c_longdouble]:
@@ -240,6 +242,21 @@ def test_float_overflow(self):
             if (hasattr(t, "__ctype_le__")):
                 self.assertRaises(OverflowError, t.__ctype_le__, big_int)
 
+        # gh-156865: be silent in overflows of C types
+        self.assertEqual(ctypes.c_float(3e300).value, float('inf'))
+        self.assertEqual(ctypes.c_float.__ctype_le__(3e300).value, float('inf'))
+        self.assertEqual(ctypes.c_float.__ctype_be__(3e300).value, float('inf'))
+        self.assertEqual(ctypes.c_float_complex(3e300).value, complex('inf'))
+        self.assertEqual(ctypes.c_float_complex.__ctype_le__(3e300).value,
+                         complex('inf'))
+        self.assertEqual(ctypes.c_float_complex.__ctype_be__(3e300).value,
+                         complex('inf'))
+        self.assertEqual(ctypes.c_float_complex(3e300j).value, complex('infj'))
+        self.assertEqual(ctypes.c_float_complex.__ctype_le__(3e300j).value,
+                         complex('infj'))
+        self.assertEqual(ctypes.c_float_complex.__ctype_be__(3e300j).value,
+                         complex('infj'))
+
 
 if __name__ == '__main__':
     unittest.main()
diff --git a/Misc/NEWS.d/next/Library/2026-09-04-11-45-08.gh-issue-156865.mrdfKJ.rst b/Misc/NEWS.d/next/Library/2026-09-04-11-45-08.gh-issue-156865.mrdfKJ.rst
new file mode 100644
index 000000000000000..26cdad81424ee7a
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2026-09-04-11-45-08.gh-issue-156865.mrdfKJ.rst
@@ -0,0 +1,2 @@
+Don't raise exceptions on overflows in floating-point types of the
+:mod:`ctypes`.  Patch by Sergey B Kirpichev.
diff --git a/Modules/_ctypes/cfield.c b/Modules/_ctypes/cfield.c
index 00b075bccff6647..193c60a1afee85c 100644
--- a/Modules/_ctypes/cfield.c
+++ b/Modules/_ctypes/cfield.c
@@ -865,14 +865,14 @@ Zf_set_sw(void *ptr, PyObject *value, Py_ssize_t size)
         return NULL;
     }
 #ifdef WORDS_BIGENDIAN
-    if (PyFloat_Pack4(c.real, ptr, 1)
-        || PyFloat_Pack4(c.imag, ptr + sizeof(float), 1))
+    if (PyFloat_Pack4((float)c.real, ptr, 1)
+        || PyFloat_Pack4((float)c.imag, ptr + sizeof(float), 1))
     {
         return NULL;
     }
 #else
-    if (PyFloat_Pack4(c.real, ptr, 0)
-        || PyFloat_Pack4(c.imag, ptr + sizeof(float), 0))
+    if (PyFloat_Pack4((float)c.real, ptr, 0)
+        || PyFloat_Pack4((float)c.imag, ptr + sizeof(float), 0))
     {
         return NULL;
     }