We do not really know if dogs dream, because they are not able to tell us when they wake up.  But dogs do appear to dream.  If you have a dog, you may have noticed that when it is asleep, it sometimes yelps or growls, roll its eyes and even twitches its legs as though it were chasing something.

Most dog owners  believe this to be a sign that their dog is dreaming.  But even though your dog may appear to be dreaming, what goes on when it whines and moves in its sleep is probably not the same as what goes on in your brain when you are dreaming.–Dick Rogers