diff --git a/demucs/hdemucs.py b/demucs/hdemucs.py
index 9d2b0d24..711d4715 100644
--- a/demucs/hdemucs.py
+++ b/demucs/hdemucs.py
@@ -691,7 +691,7 @@ def forward(self, mix):
         length = x.shape[-1]
 
         z = self._spec(mix)
-        mag = self._magnitude(z)
+        mag = self._magnitude(z).to(mix.device)
         x = mag
 
         B, C, Fq, T = x.shape
@@ -772,9 +772,21 @@ def forward(self, mix):
         x = x.view(B, S, -1, Fq, T)
         x = x * std[:, None] + mean[:, None]
 
+        # to cpu as mps doesnt support complex numbers
+        # demucs issue #435 ##432
+        # NOTE: in this case z already is on cpu
+        # TODO: remove this when mps supports complex numbers
+        x_is_mps = x.device.type == "mps"
+        if x_is_mps:
+            x = x.cpu()
+
         zout = self._mask(z, x)
         x = self._ispec(zout, length)
 
+        # back to mps device
+        if x_is_mps:
+            x = x.to('mps')
+
         if self.hybrid:
             xt = xt.view(B, S, -1, length)
             xt = xt * stdt[:, None] + meant[:, None]
diff --git a/demucs/htdemucs.py b/demucs/htdemucs.py
index 2de541c7..5d2eaaa1 100644
--- a/demucs/htdemucs.py
+++ b/demucs/htdemucs.py
@@ -536,7 +536,7 @@ def forward(self, mix):
                     length_pre_pad = mix.shape[-1]
                     mix = F.pad(mix, (0, training_length - length_pre_pad))
         z = self._spec(mix)
-        mag = self._magnitude(z)
+        mag = self._magnitude(z).to(mix.device)
         x = mag
 
         B, C, Fq, T = x.shape
@@ -625,6 +625,14 @@ def forward(self, mix):
         x = x.view(B, S, -1, Fq, T)
         x = x * std[:, None] + mean[:, None]
 
+        # to cpu as mps doesnt support complex numbers
+        # demucs issue #435 ##432
+        # NOTE: in this case z already is on cpu
+        # TODO: remove this when mps supports complex numbers
+        x_is_mps = x.device.type == "mps"
+        if x_is_mps:
+            x = x.cpu()
+
         zout = self._mask(z, x)
         if self.use_train_segment:
             if self.training:
@@ -634,6 +642,10 @@ def forward(self, mix):
         else:
             x = self._ispec(zout, length)
 
+        # back to mps device
+        if x_is_mps:
+            x = x.to("mps")
+
         if self.use_train_segment:
             if self.training:
                 xt = xt.view(B, S, -1, length)
diff --git a/demucs/spec.py b/demucs/spec.py
index f4aa10f6..29250459 100644
--- a/demucs/spec.py
+++ b/demucs/spec.py
@@ -11,6 +11,9 @@
 def spectro(x, n_fft=512, hop_length=None, pad=0):
     *other, length = x.shape
     x = x.reshape(-1, length)
+    is_mps = x.device.type == 'mps'
+    if is_mps:
+        x = x.cpu()
     z = th.stft(x,
                 n_fft * (1 + pad),
                 hop_length or n_fft // 4,
@@ -29,6 +32,9 @@ def ispectro(z, hop_length=None, length=None, pad=0):
     n_fft = 2 * freqs - 2
     z = z.view(-1, freqs, frames)
     win_length = n_fft // (1 + pad)
+    is_mps = z.device.type == 'mps'
+    if is_mps:
+        z = z.cpu()
     x = th.istft(z,
                  n_fft,
                  hop_length,
diff --git a/docs/release.md b/docs/release.md
index 2ec02bcb..fe33c1d5 100644
--- a/docs/release.md
+++ b/docs/release.md
@@ -11,6 +11,8 @@ Made diffq an optional dependency, with an error message if not installed.
 
 Added output format flac (Free Lossless Audio Codec)
 
+Will use CPU for complex numbers, when using MPS device (all other computations are performed by mps).
+
 Optimize codes to save memory
 
 ## V4.0.0, 7th of December 2022