diff --git a/crypto/ec/asm/ecp_nistz256-x86_64.pl b/crypto/ec/asm/ecp_nistz256-x86_64.pl
index cc7b976ba73d1e8edfd8e6c9ce43778b111aaaf1..ddbbedf047fbfd91821cce91abc230f66834d574 100755
--- a/crypto/ec/asm/ecp_nistz256-x86_64.pl
+++ b/crypto/ec/asm/ecp_nistz256-x86_64.pl
@@ -2294,16 +2294,14 @@ $code.=<<___;
 	mov	$b_org, $a_ptr			# reassign
 	movdqa	%xmm0, $in1_x(%rsp)
 	movdqa	%xmm1, $in1_x+0x10(%rsp)
-	por	%xmm0, %xmm1
 	movdqa	%xmm2, $in1_y(%rsp)
 	movdqa	%xmm3, $in1_y+0x10(%rsp)
-	por	%xmm2, %xmm3
 	movdqa	%xmm4, $in1_z(%rsp)
 	movdqa	%xmm5, $in1_z+0x10(%rsp)
-	por	%xmm1, %xmm3
+	por	%xmm4, %xmm5
 
 	movdqu	0x00($a_ptr), %xmm0		# copy	*(P256_POINT *)$b_ptr
-	 pshufd	\$0xb1, %xmm3, %xmm5
+	 pshufd	\$0xb1, %xmm5, %xmm3
 	movdqu	0x10($a_ptr), %xmm1
 	movdqu	0x20($a_ptr), %xmm2
 	 por	%xmm3, %xmm5
@@ -2315,14 +2313,14 @@ $code.=<<___;
 	movdqa	%xmm0, $in2_x(%rsp)
 	 pshufd	\$0x1e, %xmm5, %xmm4
 	movdqa	%xmm1, $in2_x+0x10(%rsp)
-	por	%xmm0, %xmm1
-	 movq	$r_ptr, %xmm0			# save $r_ptr
+	movdqu	0x40($a_ptr),%xmm0		# in2_z again
+	movdqu	0x50($a_ptr),%xmm1
 	movdqa	%xmm2, $in2_y(%rsp)
 	movdqa	%xmm3, $in2_y+0x10(%rsp)
-	por	%xmm2, %xmm3
 	 por	%xmm4, %xmm5
 	 pxor	%xmm4, %xmm4
-	por	%xmm1, %xmm3
+	por	%xmm0, %xmm1
+	 movq	$r_ptr, %xmm0			# save $r_ptr
 
 	lea	0x40-$bias($a_ptr), $a_ptr	# $a_ptr is still valid
 	 mov	$src0, $in2_z+8*0(%rsp)		# make in2_z copy
@@ -2333,8 +2331,8 @@ $code.=<<___;
 	call	__ecp_nistz256_sqr_mont$x	# p256_sqr_mont(Z2sqr, in2_z);
 
 	pcmpeqd	%xmm4, %xmm5
-	pshufd	\$0xb1, %xmm3, %xmm4
-	por	%xmm3, %xmm4
+	pshufd	\$0xb1, %xmm1, %xmm4
+	por	%xmm1, %xmm4
 	pshufd	\$0, %xmm5, %xmm5		# in1infty
 	pshufd	\$0x1e, %xmm4, %xmm3
 	por	%xmm3, %xmm4
@@ -2666,16 +2664,14 @@ $code.=<<___;
 	 mov	0x40+8*3($a_ptr), $acc0
 	movdqa	%xmm0, $in1_x(%rsp)
 	movdqa	%xmm1, $in1_x+0x10(%rsp)
-	por	%xmm0, %xmm1
 	movdqa	%xmm2, $in1_y(%rsp)
 	movdqa	%xmm3, $in1_y+0x10(%rsp)
-	por	%xmm2, %xmm3
 	movdqa	%xmm4, $in1_z(%rsp)
 	movdqa	%xmm5, $in1_z+0x10(%rsp)
-	por	%xmm1, %xmm3
+	por	%xmm4, %xmm5
 
 	movdqu	0x00($b_ptr), %xmm0	# copy	*(P256_POINT_AFFINE *)$b_ptr
-	 pshufd	\$0xb1, %xmm3, %xmm5
+	 pshufd	\$0xb1, %xmm5, %xmm3
 	movdqu	0x10($b_ptr), %xmm1
 	movdqu	0x20($b_ptr), %xmm2
 	 por	%xmm3, %xmm5
diff --git a/crypto/ec/ecp_nistz256.c b/crypto/ec/ecp_nistz256.c
index 564a8894b9f2bbd4ae9eb2370f4179df1250d743..dca3a2dde5854df77393a3398efc8d3072e45373 100644
--- a/crypto/ec/ecp_nistz256.c
+++ b/crypto/ec/ecp_nistz256.c
@@ -335,19 +335,16 @@ static void ecp_nistz256_point_add(P256_POINT *r,
     const BN_ULONG *in2_y = b->Y;
     const BN_ULONG *in2_z = b->Z;
 
-    /* We encode infinity as (0,0), which is not on the curve,
-     * so it is OK. */
-    in1infty = (in1_x[0] | in1_x[1] | in1_x[2] | in1_x[3] |
-                in1_y[0] | in1_y[1] | in1_y[2] | in1_y[3]);
+    /*
+     * Infinity in encoded as (,,0)
+     */
+    in1infty = (in1_z[0] | in1_z[1] | in1_z[2] | in1_z[3]);
     if (P256_LIMBS == 8)
-        in1infty |= (in1_x[4] | in1_x[5] | in1_x[6] | in1_x[7] |
-                     in1_y[4] | in1_y[5] | in1_y[6] | in1_y[7]);
+        in1infty |= (in1_z[4] | in1_z[5] | in1_z[6] | in1_z[7]);
 
-    in2infty = (in2_x[0] | in2_x[1] | in2_x[2] | in2_x[3] |
-                in2_y[0] | in2_y[1] | in2_y[2] | in2_y[3]);
+    in2infty = (in2_z[0] | in2_z[1] | in2_z[2] | in2_z[3]);
     if (P256_LIMBS == 8)
-        in2infty |= (in2_x[4] | in2_x[5] | in2_x[6] | in2_x[7] |
-                     in2_y[4] | in2_y[5] | in2_y[6] | in2_y[7]);
+        in2infty |= (in2_z[4] | in2_z[5] | in2_z[6] | in2_z[7]);
 
     in1infty = is_zero(in1infty);
     in2infty = is_zero(in2infty);
@@ -436,15 +433,16 @@ static void ecp_nistz256_point_add_affine(P256_POINT *r,
     const BN_ULONG *in2_y = b->Y;
 
     /*
-     * In affine representation we encode infty as (0,0), which is not on the
-     * curve, so it is OK
+     * Infinity in encoded as (,,0)
      */
-    in1infty = (in1_x[0] | in1_x[1] | in1_x[2] | in1_x[3] |
-                in1_y[0] | in1_y[1] | in1_y[2] | in1_y[3]);
+    in1infty = (in1_z[0] | in1_z[1] | in1_z[2] | in1_z[3]);
     if (P256_LIMBS == 8)
-        in1infty |= (in1_x[4] | in1_x[5] | in1_x[6] | in1_x[7] |
-                     in1_y[4] | in1_y[5] | in1_y[6] | in1_y[7]);
+        in1infty |= (in1_z[4] | in1_z[5] | in1_z[6] | in1_z[7]);
 
+    /*
+     * In affine representation we encode infinity as (0,0), which is
+     * not on the curve, so it is OK
+     */
     in2infty = (in2_x[0] | in2_x[1] | in2_x[2] | in2_x[3] |
                 in2_y[0] | in2_y[1] | in2_y[2] | in2_y[3]);
     if (P256_LIMBS == 8)
@@ -1273,6 +1271,8 @@ __owur static int ecp_nistz256_points_mul(const EC_GROUP *group,
             } else
 #endif
             {
+                BN_ULONG infty;
+
                 /* First window */
                 wvalue = (p_str[0] << 1) & mask;
                 idx += window_size;
@@ -1285,7 +1285,30 @@ __owur static int ecp_nistz256_points_mul(const EC_GROUP *group,
                 ecp_nistz256_neg(p.p.Z, p.p.Y);
                 copy_conditional(p.p.Y, p.p.Z, wvalue & 1);
 
-                memcpy(p.p.Z, ONE, sizeof(ONE));
+                /*
+                 * Since affine infinity is encoded as (0,0) and
+                 * Jacobian ias (,,0), we need to harmonize them
+                 * by assigning "one" or zero to Z.
+                 */
+                infty = (p.p.X[0] | p.p.X[1] | p.p.X[2] | p.p.X[3] |
+                         p.p.Y[0] | p.p.Y[1] | p.p.Y[2] | p.p.Y[3]);
+                if (P256_LIMBS == 8)
+                    infty |= (p.p.X[4] | p.p.X[5] | p.p.X[6] | p.p.X[7] |
+                              p.p.Y[4] | p.p.Y[5] | p.p.Y[6] | p.p.Y[7]);
+
+                infty = 0 - is_zero(infty);
+                infty = ~infty;
+
+                p.p.Z[0] = ONE[0] & infty;
+                p.p.Z[1] = ONE[1] & infty;
+                p.p.Z[2] = ONE[2] & infty;
+                p.p.Z[3] = ONE[3] & infty;
+                if (P256_LIMBS == 8) {
+                    p.p.Z[4] = ONE[4] & infty;
+                    p.p.Z[5] = ONE[5] & infty;
+                    p.p.Z[6] = ONE[6] & infty;
+                    p.p.Z[7] = ONE[7] & infty;
+                }
 
                 for (i = 1; i < 37; i++) {
                     unsigned int off = (idx - 1) / 8;