diff --git a/deepxde/model.py b/deepxde/model.py
index 4ebdf6859..9ecd92a56 100644
--- a/deepxde/model.py
+++ b/deepxde/model.py
@@ -371,8 +371,6 @@ def closure():
 
     def _compile_jax(self, lr, loss_fn, decay):
         """jax"""
-        if self.loss_weights is not None:
-            raise NotImplementedError("Loss weights are not supported for backend jax.")
         # Initialize the network's parameters
         if self.params is None:
             key = jax.random.PRNGKey(config.jax_random_seed)
@@ -398,10 +396,12 @@ def outputs_fn(inputs):
             # We use aux so that self.data.losses is a pure function.
             aux = [outputs_fn, ext_params] if ext_params else [outputs_fn]
             losses = losses_fn(targets, outputs_, loss_fn, inputs, self, aux=aux)
-            # TODO: Add regularization loss, weighted losses
+            # TODO: Add regularization loss
             if not isinstance(losses, list):
                 losses = [losses]
             losses = jax.numpy.asarray(losses)
+            if self.loss_weights is not None:
+                losses *= jax.numpy.asarray(self.loss_weights)
             return outputs_, losses
 
         @jax.jit