diff --git a/stdlib/Makefile b/stdlib/Makefile
index 0314d5926b..94cbd0e479 100644
--- a/stdlib/Makefile
+++ b/stdlib/Makefile
@@ -80,7 +80,9 @@ tests		:= tst-strtol tst-strtod testmb testrand testsort testdiv   \
 		   tst-strtol-locale tst-strtod-nan-locale tst-strfmon_l    \
 		   tst-quick_exit tst-thread-quick_exit tst-width	    \
 		   tst-width-stdint tst-strfrom tst-strfrom-locale	    \
-		   tst-getrandom
+		   tst-getrandom tst-atexit tst-at_quick_exit 		    \
+		   tst-cxa_atexit tst-on_exit
+
 tests-internal	:= tst-strtod1i tst-strtod3 tst-strtod4 tst-strtod5i \
 		   tst-tls-atexit tst-tls-atexit-nodelete
 tests-static	:= tst-secure-getenv
diff --git a/stdlib/tst-at_quick_exit.c b/stdlib/tst-at_quick_exit.c
new file mode 100644
index 0000000000..c86bbe3455
--- /dev/null
+++ b/stdlib/tst-at_quick_exit.c
@@ -0,0 +1,25 @@
+/* Test that functions registered via at_auick_exit are called in correct
+   (LIFO) order.  In particular, exit handlers can themselves register
+   additional handlers, so we test that.
+
+   Copyright (C) 2017 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
+   <http://www.gnu.org/licenses/>.  */
+
+#define ATEXIT(fn) at_quick_exit (fn)
+#define EXIT(x) quick_exit (x)
+
+#include <stdlib/tst-atexit-common.c>
diff --git a/stdlib/tst-atexit-common.c b/stdlib/tst-atexit-common.c
new file mode 100644
index 0000000000..a585614733
--- /dev/null
+++ b/stdlib/tst-atexit-common.c
@@ -0,0 +1,86 @@
+/* Helper file for tst-{atexit,at_quick_exit,cxa_atexit,on_exit}.
+
+   Copyright (C) 2017 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
+   <http://www.gnu.org/licenses/>.  */
+
+#include <assert.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <unistd.h>
+
+#define MAX_ATEXIT 20
+static char crumbs[MAX_ATEXIT];
+static int next_slot = 0;
+
+static void
+fn0 (void)
+{
+  crumbs[next_slot++] = '0';
+}
+
+static void
+fn1 (void)
+{
+  crumbs[next_slot++] = '1';
+}
+
+static void
+fn2 (void)
+{
+  crumbs[next_slot++] = '2';
+  ATEXIT (fn1);
+}
+
+static void
+fn3 (void)
+{
+  crumbs[next_slot++] = '3';
+  ATEXIT (fn2);
+  ATEXIT (fn0);
+}
+
+static void
+fn_final (void)
+{
+  const char expected[] = "3021121130211";
+  if (strcmp (crumbs, expected) == 0)
+    _exit (0);
+
+  printf ("crumbs:   %s\n", crumbs);
+  printf ("expected: %s\n", expected);
+  _exit (1);
+}
+
+static int
+do_test (void)
+{
+  /* Register this first so it can verify expected order of the rest.  */
+  ATEXIT (fn_final);
+
+  ATEXIT (fn1);
+  ATEXIT (fn3);
+  ATEXIT (fn1);
+  ATEXIT (fn2);
+  ATEXIT (fn1);
+  ATEXIT (fn3);
+
+  EXIT (0);
+}
+
+#define TEST_FUNCTION do_test
+#include <support/test-driver.c>
diff --git a/stdlib/tst-atexit.c b/stdlib/tst-atexit.c
new file mode 100644
index 0000000000..8ca401bcbf
--- /dev/null
+++ b/stdlib/tst-atexit.c
@@ -0,0 +1,25 @@
+/* Test that functions registered via atexit are called in correct
+   (LIFO) order.  In particular, exit handlers can themselves register
+   additional handlers, so we test that.
+
+   Copyright (C) 2017 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
+   <http://www.gnu.org/licenses/>.  */
+
+#define ATEXIT(fn) atexit (fn)
+#define EXIT(x) exit (x)
+
+#include <stdlib/tst-atexit-common.c>
diff --git a/stdlib/tst-cxa_atexit.c b/stdlib/tst-cxa_atexit.c
new file mode 100644
index 0000000000..46fa04a1f7
--- /dev/null
+++ b/stdlib/tst-cxa_atexit.c
@@ -0,0 +1,27 @@
+/* Test that functions registered via __cxa_atexit are called in correct
+   (LIFO) order.  In particular, exit handlers can themselves register
+   additional handlers, so we test that.
+
+   Copyright (C) 2017 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
+   <http://www.gnu.org/licenses/>.  */
+
+extern int __cxa_atexit (void (*func) (void *), void *arg, void *d);
+
+#define ATEXIT(fn) __cxa_atexit ((void (*) (void *)) fn, (void *) 0, (void *) 0)
+#define EXIT(x) exit (x)
+
+#include <stdlib/tst-atexit-common.c>
diff --git a/stdlib/tst-on_exit.c b/stdlib/tst-on_exit.c
new file mode 100644
index 0000000000..8dda872154
--- /dev/null
+++ b/stdlib/tst-on_exit.c
@@ -0,0 +1,25 @@
+/* Test that functions registered via on_exit are called in correct
+   (LIFO) order.  In particular, exit handlers can themselves register
+   additional handlers, so we test that.
+
+   Copyright (C) 2017 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
+   <http://www.gnu.org/licenses/>.  */
+
+#define ATEXIT(fn) on_exit ((void (*) (int, void *)) fn, (void *) 0)
+#define EXIT(x) exit (x)
+
+#include <stdlib/tst-atexit-common.c>