diff --git a/math/Makefile b/math/Makefile
index 32e3001ec6..35a148a66c 100644
--- a/math/Makefile
+++ b/math/Makefile
@@ -530,6 +530,8 @@ tests = \
   test-nearbyint-except \
   test-nearbyint-except-2 \
   test-powl \
+  test-round-except \
+  test-round-except-2 \
   test-signgam-uchar \
   test-signgam-uchar-init \
   test-signgam-uint \
@@ -1001,6 +1003,8 @@ CFLAGS-test-floor-except.c += -fno-builtin
 CFLAGS-test-floor-except-2.c += -fno-builtin
 CFLAGS-test-trunc-except.c += -fno-builtin
 CFLAGS-test-trunc-except-2.c += -fno-builtin
+CFLAGS-test-round-except.c += -fno-builtin
+CFLAGS-test-round-except-2.c += -fno-builtin
 
 include ../Rules
 
diff --git a/math/test-round-except-2.c b/math/test-round-except-2.c
new file mode 100644
index 0000000000..5281b919b0
--- /dev/null
+++ b/math/test-round-except-2.c
@@ -0,0 +1,67 @@
+/* Test round functions do not disable exception traps.
+   Copyright (C) 2024 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <fenv.h>
+#include <math.h>
+#include <stdio.h>
+
+#ifndef FE_INEXACT
+# define FE_INEXACT 0
+#endif
+
+#define TEST_FUNC(NAME, FLOAT, SUFFIX)					\
+static int								\
+NAME (void)								\
+{									\
+  int result = 0;							\
+  volatile FLOAT a, b __attribute__ ((unused));				\
+  a = 1.5;								\
+  /* round must work when traps on "inexact" are enabled.  */	\
+  b = round ## SUFFIX (a);						\
+  /* And it must have left those traps enabled.  */			\
+  if (fegetexcept () == FE_INEXACT)					\
+    puts ("PASS: " #FLOAT);						\
+  else									\
+    {									\
+      puts ("FAIL: " #FLOAT);						\
+      result = 1;							\
+    }									\
+  return result;							\
+}
+
+TEST_FUNC (float_test, float, f)
+TEST_FUNC (double_test, double, )
+TEST_FUNC (ldouble_test, long double, l)
+
+static int
+do_test (void)
+{
+  if (feenableexcept (FE_INEXACT) == -1)
+    {
+      puts ("enabling FE_INEXACT traps failed, cannot test");
+      return 77;
+    }
+  int result = float_test ();
+  feenableexcept (FE_INEXACT);
+  result |= double_test ();
+  feenableexcept (FE_INEXACT);
+  result |= ldouble_test ();
+  return result;
+}
+
+#include <support/test-driver.c>
diff --git a/math/test-round-except.c b/math/test-round-except.c
new file mode 100644
index 0000000000..c4515daf89
--- /dev/null
+++ b/math/test-round-except.c
@@ -0,0 +1,85 @@
+/* Test round functions do not clear exceptions.
+   Copyright (C) 2024 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <fenv.h>
+#include <math.h>
+#include <stdbool.h>
+#include <stdio.h>
+
+#include <math-tests.h>
+
+#ifndef FE_INVALID
+# define FE_INVALID 0
+#endif
+
+static bool any_supported = false;
+
+#define TEST_FUNC(NAME, FLOAT, SUFFIX)					\
+static int								\
+NAME (void)								\
+{									\
+  int result = 0;							\
+  if (!EXCEPTION_TESTS (FLOAT))						\
+    return 0;								\
+  any_supported = true;							\
+  volatile FLOAT a, b __attribute__ ((unused));				\
+  a = 1.0;								\
+  /* round must not clear already-raised exceptions.  */		\
+  feraiseexcept (FE_ALL_EXCEPT);					\
+  b = round ## SUFFIX (a);						\
+  if (fetestexcept (FE_ALL_EXCEPT) == FE_ALL_EXCEPT)			\
+    puts ("PASS: " #FLOAT);						\
+  else									\
+    {									\
+      puts ("FAIL: " #FLOAT);						\
+      result = 1;							\
+    }									\
+  /* But it mustn't lose exceptions from sNaN arguments.  */		\
+  if (SNAN_TESTS (FLOAT))						\
+    {									\
+      static volatile FLOAT snan = __builtin_nans ## SUFFIX ("");	\
+      volatile FLOAT c __attribute__ ((unused));			\
+      feclearexcept (FE_ALL_EXCEPT);					\
+      c = round ## SUFFIX (snan);					\
+      if (fetestexcept (FE_INVALID) == FE_INVALID)			\
+	puts ("PASS: " #FLOAT " sNaN");					\
+      else								\
+	{								\
+	  puts ("FAIL: " #FLOAT " sNaN");				\
+	  result = 1;							\
+	}								\
+    }									\
+  return result;							\
+}
+
+TEST_FUNC (float_test, float, f)
+TEST_FUNC (double_test, double, )
+TEST_FUNC (ldouble_test, long double, l)
+
+static int
+do_test (void)
+{
+  int result = float_test ();
+  result |= double_test ();
+  result |= ldouble_test ();
+  if (!any_supported)
+    return 77;
+  return result;
+}
+
+#include <support/test-driver.c>
