diff --git a/crypto/sha/asm/sha1-s390x.pl b/crypto/sha/asm/sha1-s390x.pl
index e22e86fa1400d5afcc4dc3698e6d71a59ad3549d..eb6f8dfc82e0ad150bfc996bad902a0712e4aa6c 100644
--- a/crypto/sha/asm/sha1-s390x.pl
+++ b/crypto/sha/asm/sha1-s390x.pl
@@ -156,6 +156,7 @@ $code.=<<___ if ($kimdfunc);
 	.long	0xb93e0002	# kimd %r0,%r2
 	brc	1,.-4		# pay attention to "partial completion"
 	br	%r14
+.align	16
 .Lsoftware:
 ___
 $code.=<<___;
diff --git a/crypto/sha/asm/sha512-s390x.pl b/crypto/sha/asm/sha512-s390x.pl
index e4f1812c68a269a4733069964ecc74ea722af2e1..5811d74d094f5abcde722da00151c395fa40802c 100644
--- a/crypto/sha/asm/sha512-s390x.pl
+++ b/crypto/sha/asm/sha512-s390x.pl
@@ -227,6 +227,7 @@ $code.=<<___ if ($kimdfunc);
 	.long	0xb93e0002	# kimd %r0,%r2
 	brc	1,.-4		# pay attention to "partial completion"
 	br	%r14
+.align	16
 .Lsoftware:
 ___
 $code.=<<___;