diff --git a/jax/_src/lax/fft.py b/jax/_src/lax/fft.py
index da32a6b17f2b..ed14db5a1876 100644
--- a/jax/_src/lax/fft.py
+++ b/jax/_src/lax/fft.py
@@ -82,6 +82,8 @@ def fft_abstract_eval(x, fft_type, fft_lengths):
     raise ValueError(f"FFT input shape {x.shape} must have at least as many "
                     f"input dimensions as fft_lengths {fft_lengths}.")
   if fft_type == xla_client.FftType.RFFT:
+    if x.dtype not in (np.float32, np.float64):
+      raise ValueError(f"RFFT input must be float32 or float64, got {x.dtype}")
     if x.shape[-len(fft_lengths):] != fft_lengths:
       raise ValueError(f"RFFT input shape {x.shape} minor dimensions must "
                       f"be equal to fft_lengths {fft_lengths}")
@@ -89,6 +91,9 @@ def fft_abstract_eval(x, fft_type, fft_lengths):
              + (fft_lengths[-1] // 2 + 1,))
     dtype = _complex_dtype(x.dtype)
   elif fft_type == xla_client.FftType.IRFFT:
+    if not np.issubdtype(x.dtype, np.complexfloating):
+      raise ValueError("IRFFT input must be complex64 or complex128, got "
+                       f"{x.dtype}")
     if x.shape[-len(fft_lengths):-1] != fft_lengths[:-1]:
       raise ValueError(f"IRFFT input shape {x.shape} minor dimensions must "
                       "be equal to all except the last fft_length, got "
@@ -96,6 +101,9 @@ def fft_abstract_eval(x, fft_type, fft_lengths):
     shape = x.shape[:-len(fft_lengths)] + fft_lengths
     dtype = _real_dtype(x.dtype)
   else:
+    if not np.issubdtype(x.dtype, np.complexfloating):
+      raise ValueError("FFT input must be complex64 or complex128, got "
+                       f"{x.dtype}")
     if x.shape[-len(fft_lengths):] != fft_lengths:
       raise ValueError(f"FFT input shape {x.shape} minor dimensions must "
                       f"be equal to fft_lengths {fft_lengths}")
diff --git a/tests/fft_test.py b/tests/fft_test.py
index c4e808fd24be..b4cddee3b716 100644
--- a/tests/fft_test.py
+++ b/tests/fft_test.py
@@ -102,26 +102,30 @@ def testLaxFftAcceptsStringTypes(self):
                         lax.fft(x, "fft", fft_lengths=(10,)))
 
   def testLaxFftErrors(self):
-    with self.assertRaises(
-      ValueError,
-      msg="FFT input shape (14, 15) must have at least as many input "
-          "dimensions as fft_lengths (4, 5, 6)"):
+    with self.assertRaisesRegex(
+        ValueError,
+        r"FFT input shape \(14, 15\) must have at least as many input "
+        r"dimensions as fft_lengths \(4, 5, 6\)"):
       lax.fft(np.ones((14, 15)), fft_type="fft", fft_lengths=(4, 5, 6))
-    with self.assertRaises(
-      ValueError,
-      msg="FFT input shape (14, 15) minor dimensions must be equal to "
-          "fft_lengths (17,)"):
+    with self.assertRaisesRegex(
+        ValueError,
+        r"FFT input shape \(14, 15\) minor dimensions must be equal to "
+        r"fft_lengths \(17,\)"):
       lax.fft(np.ones((14, 15)), fft_type="fft", fft_lengths=(17,))
-    with self.assertRaises(
-      ValueError,
-      msg="RFFT input shape (14, 15) minor dimensions must be equal to "
-          "fft_lengths (14, 15,)"):
+    with self.assertRaisesRegex(
+        ValueError,
+        r"RFFT input shape \(2, 14, 15\) minor dimensions must be equal to "
+        r"fft_lengths \(14, 12\)"):
       lax.fft(np.ones((2, 14, 15)), fft_type="rfft", fft_lengths=(14, 12))
-    with self.assertRaises(
-      ValueError,
-      msg="IRFFT input shape (14, 15) minor dimensions must be equal to "
-          "all except the last fft_length, got fft_lengths=(14, 15,)"):
+    with self.assertRaisesRegex(
+        ValueError,
+        r"IRFFT input shape \(2, 14, 15\) minor dimensions must be equal to "
+        r"all except the last fft_length, got fft_lengths=\(13, 15\)"):
       lax.fft(np.ones((2, 14, 15)), fft_type="irfft", fft_lengths=(13, 15))
+    with self.assertRaisesRegex(
+        ValueError, "RFFT input must be float32 or float64, got bfloat16"):
+      lax.fft(np.ones((14, 15), jnp.bfloat16), fft_type="rfft",
+              fft_lengths=(5, 6))
 
   @parameterized.parameters((np.float32,), (np.float64,))
   def testLaxIrfftDoesNotMutateInputs(self, dtype):