diff --git a/tests/tcg/aarch64/sme-fmopa-1.c b/tests/tcg/aarch64/sme-fmopa-1.c
new file mode 100644
index 00000000000..652c4ea0902
--- /dev/null
+++ b/tests/tcg/aarch64/sme-fmopa-1.c
@@ -0,0 +1,63 @@
+/*
+ * SME outer product, 1 x 1.
+ * SPDX-License-Identifier: GPL-2.0-or-later
+ */
+
+#include <stdio.h>
+
+static void foo(float *dst)
+{
+    asm(".arch_extension sme\n\t"
+        "smstart\n\t"
+        "ptrue p0.s, vl4\n\t"
+        "fmov z0.s, #1.0\n\t"
+        /*
+         * An outer product of a vector of 1.0 by itself should be a matrix of 1.0.
+         * Note that we are using tile 1 here (za1.s) rather than tile 0.
+         */
+        "zero {za}\n\t"
+        "fmopa za1.s, p0/m, p0/m, z0.s, z0.s\n\t"
+        /*
+         * Read the first 4x4 sub-matrix of elements from tile 1:
+         * Note that za1h should be interchangeable here.
+         */
+        "mov w12, #0\n\t"
+        "mova z0.s, p0/m, za1v.s[w12, #0]\n\t"
+        "mova z1.s, p0/m, za1v.s[w12, #1]\n\t"
+        "mova z2.s, p0/m, za1v.s[w12, #2]\n\t"
+        "mova z3.s, p0/m, za1v.s[w12, #3]\n\t"
+        /*
+         * And store them to the input pointer (dst in the C code):
+         */
+        "st1w {z0.s}, p0, [%0]\n\t"
+        "add x0, x0, #16\n\t"
+        "st1w {z1.s}, p0, [x0]\n\t"
+        "add x0, x0, #16\n\t"
+        "st1w {z2.s}, p0, [x0]\n\t"
+        "add x0, x0, #16\n\t"
+        "st1w {z3.s}, p0, [x0]\n\t"
+        "smstop"
+        : : "r"(dst)
+        : "x12", "d0", "d1", "d2", "d3", "memory");
+}
+
+int main()
+{
+    float dst[16] = { };
+
+    foo(dst);
+
+    for (int i = 0; i < 16; i++) {
+        if (dst[i] != 1.0f) {
+            goto failure;
+        }
+    }
+    /* success */
+    return 0;
+
+ failure:
+    for (int i = 0; i < 16; i++) {
+        printf("%f%c", dst[i], i % 4 == 3 ? '\n' : ' ');
+    }
+    return 1;
+}
diff --git a/tests/tcg/aarch64/sme-fmopa-2.c b/tests/tcg/aarch64/sme-fmopa-2.c
new file mode 100644
index 00000000000..15f0972d835
--- /dev/null
+++ b/tests/tcg/aarch64/sme-fmopa-2.c
@@ -0,0 +1,56 @@
+/*
+ * SME outer product, FZ vs FZ16
+ * SPDX-License-Identifier: GPL-2.0-or-later
+ */
+
+#include <stdint.h>
+#include <stdio.h>
+
+static void test_fmopa(uint32_t *result)
+{
+    asm(".arch_extension sme\n\t"
+        "smstart\n\t"               /* Z*, P* and ZArray cleared */
+        "ptrue p2.b, vl16\n\t"      /* Limit vector length to 16 */
+        "ptrue p5.b, vl16\n\t"
+        "movi d0, #0x00ff\n\t"      /* fp16 denormal */
+        "movi d16, #0x00ff\n\t"
+        "mov w15, #0x0001000000\n\t" /* FZ=1, FZ16=0 */
+        "msr fpcr, x15\n\t"
+        "fmopa za3.s, p2/m, p5/m, z16.h, z0.h\n\t"
+        "mov w15, #0\n\t"
+        "st1w {za3h.s[w15, 0]}, p2, [%0]\n\t"
+        "add %0, %0, #16\n\t"
+        "st1w {za3h.s[w15, 1]}, p2, [%0]\n\t"
+        "mov w15, #2\n\t"
+        "add %0, %0, #16\n\t"
+        "st1w {za3h.s[w15, 0]}, p2, [%0]\n\t"
+        "add %0, %0, #16\n\t"
+        "st1w {za3h.s[w15, 1]}, p2, [%0]\n\t"
+        "smstop"
+        : "+r"(result) :
+        : "x15", "x16", "p2", "p5", "d0", "d16", "memory");
+}
+
+int main(void)
+{
+    uint32_t result[4 * 4] = { };
+
+    test_fmopa(result);
+
+    if (result[0] != 0x2f7e0100) {
+        printf("Test failed: Incorrect output in first 4 bytes\n"
+               "Expected: %08x\n"
+               "Got:      %08x\n",
+               0x2f7e0100, result[0]);
+        return 1;
+    }
+
+    for (int i = 1; i < 16; ++i) {
+        if (result[i] != 0) {
+            printf("Test failed: Non-zero word at position %d\n", i);
+            return 1;
+        }
+    }
+
+    return 0;
+}
diff --git a/tests/tcg/aarch64/sme-fmopa-3.c b/tests/tcg/aarch64/sme-fmopa-3.c
new file mode 100644
index 00000000000..3bfec34914c
--- /dev/null
+++ b/tests/tcg/aarch64/sme-fmopa-3.c
@@ -0,0 +1,63 @@
+/*
+ * SME outer product, [ 1 2 3 4 ] squared
+ * SPDX-License-Identifier: GPL-2.0-or-later
+ */
+
+#include <stdio.h>
+#include <stdint.h>
+#include <string.h>
+#include <math.h>
+
+static const float i_1234[4] = {
+    1.0f, 2.0f, 3.0f, 4.0f
+};
+
+static const float expected[4] = {
+    4.515625f, 5.750000f, 6.984375f, 8.218750f
+};
+
+static void test_fmopa(float *result)
+{
+    asm(".arch_extension sme\n\t"
+        "smstart\n\t"               /* ZArray cleared */
+        "ptrue p2.b, vl16\n\t"      /* Limit vector length to 16 */
+        "ld1w {z0.s}, p2/z, [%1]\n\t"
+        "mov w15, #0\n\t"
+        "mov za3h.s[w15, 0], p2/m, z0.s\n\t"
+        "mov za3h.s[w15, 1], p2/m, z0.s\n\t"
+        "mov w15, #2\n\t"
+        "mov za3h.s[w15, 0], p2/m, z0.s\n\t"
+        "mov za3h.s[w15, 1], p2/m, z0.s\n\t"
+        "msr fpcr, xzr\n\t"
+        "fmopa za3.s, p2/m, p2/m, z0.h, z0.h\n\t"
+        "mov w15, #0\n\t"
+        "st1w {za3h.s[w15, 0]}, p2, [%0]\n"
+        "add %0, %0, #16\n\t"
+        "st1w {za3h.s[w15, 1]}, p2, [%0]\n\t"
+        "mov w15, #2\n\t"
+        "add %0, %0, #16\n\t"
+        "st1w {za3h.s[w15, 0]}, p2, [%0]\n\t"
+        "add %0, %0, #16\n\t"
+        "st1w {za3h.s[w15, 1]}, p2, [%0]\n\t"
+        "smstop"
+        : "+r"(result) : "r"(i_1234)
+        : "x15", "x16", "p2", "d0", "memory");
+}
+
+int main(void)
+{
+    float result[4 * 4] = { };
+    int ret = 0;
+
+    test_fmopa(result);
+
+    for (int i = 0; i < 4; i++) {
+        float actual = result[i];
+        if (fabsf(actual - expected[i]) > 0.001f) {
+            printf("Test failed at element %d: Expected %f, got %f\n",
+                   i, expected[i], actual);
+            ret = 1;
+        }
+    }
+    return ret;
+}
diff --git a/tests/tcg/aarch64/Makefile.target b/tests/tcg/aarch64/Makefile.target
index b53218e1156..8cc62eb4561 100644
--- a/tests/tcg/aarch64/Makefile.target
+++ b/tests/tcg/aarch64/Makefile.target
@@ -70,8 +70,9 @@ endif
 
 # SME Tests
 ifneq ($(CROSS_AS_HAS_ARMV9_SME),)
-AARCH64_TESTS += sme-outprod1 sme-smopa-1 sme-smopa-2
-sme-outprod1 sme-smopa-1 sme-smopa-2: CFLAGS += $(CROSS_AS_HAS_ARMV9_SME)
+SME_TESTS = sme-outprod1 sme-smopa-1 sme-smopa-2 sme-fmopa-1 sme-fmopa-2 sme-fmopa-3
+AARCH64_TESTS += $(SME_TESTS)
+$(SME_TESTS): CFLAGS += $(CROSS_AS_HAS_ARMV9_SME)
 endif
 
 # System Registers Tests
