diff --git a/elf/Makefile b/elf/Makefile
index 41f01b5c89..6f2489cce1 100644
--- a/elf/Makefile
+++ b/elf/Makefile
@@ -1137,12 +1137,14 @@ tests += \
   tst-dlopen-pie \
   tst-dlopen-self-pie \
   tst-dlopen-tlsmodid-pie \
+  tst-pie-bss \
   tst-pie1 \
   tst-pie2 \
   # tests
 tests-pie += \
   tst-dlopen-self-pie \
   tst-dlopen-tlsmodid-pie \
+  tst-pie-bss \
   tst-pie1 \
   tst-pie2 \
   # tests-pie
@@ -1157,9 +1159,11 @@ LDFLAGS-tst-pie-address += $(load-address-ldflag)=$(pde-load-address)
 ifeq (yes,$(enable-static-pie))
 tests += \
   tst-pie-address-static \
+  tst-pie-bss-static \
   # tests
 tests-static += \
   tst-pie-address-static \
+  tst-pie-bss-static \
   # tests-static
 LDFLAGS-tst-pie-address-static += \
   $(load-address-ldflag)=$(pde-load-address)
@@ -2082,6 +2086,7 @@ $(objpfx)tst-array5-static-cmp.out: tst-array5-static.exp \
 
 CFLAGS-tst-pie1.c += $(pie-ccflag)
 CFLAGS-tst-pie2.c += $(pie-ccflag)
+CFLAGS-tst-pie-bss.c += $(pie-ccflag)
 CFLAGS-tst-pie-address.c += $(pie-ccflag)
 
 $(objpfx)tst-piemod1.so: $(libsupport)
diff --git a/elf/dl-reloc-static-pie.c b/elf/dl-reloc-static-pie.c
index e34bf5f7ce..758bf9893e 100644
--- a/elf/dl-reloc-static-pie.c
+++ b/elf/dl-reloc-static-pie.c
@@ -51,7 +51,8 @@ _dl_relocate_static_pie (void)
     switch (ph->p_type)
       {
       case PT_LOAD:
-	if (ph->p_offset == 0)
+	/* Skip the empty PT_LOAD segment at offset 0.  */
+	if (ph->p_filesz != 0 && ph->p_offset == 0)
 	  file_p_vaddr = ph->p_vaddr;
 	break;
       case PT_DYNAMIC:
diff --git a/elf/tst-pie-bss-static.c b/elf/tst-pie-bss-static.c
new file mode 100644
index 0000000000..5df542f9ee
--- /dev/null
+++ b/elf/tst-pie-bss-static.c
@@ -0,0 +1,19 @@
+/* Test static PIE with an empty PT_LOAD segment at offset 0.
+   Copyright (C) 2025 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 "tst-pie-bss.c"
diff --git a/elf/tst-pie-bss.c b/elf/tst-pie-bss.c
new file mode 100644
index 0000000000..ee92754249
--- /dev/null
+++ b/elf/tst-pie-bss.c
@@ -0,0 +1,30 @@
+/* Test PIE with an empty PT_LOAD segment at offset 0.
+   Copyright (C) 2025 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 <stdio.h>
+
+char bss[0xb5dce8] __attribute__ ((aligned (65536)));
+
+static int
+do_test (void)
+{
+  printf ("Hello\n");
+  return 0;
+}
+
+#include <support/test-driver.c>