There are atheists that believe in reincarnation. However, in general, you will not find them.
In my view, 'conciousness' is an emergant property of brain activity. Stop the brain, stop the conciousness.
The 'reincarnation' of a 'soul' would not make sense to me. That new life would not have my knowledge, my experiance, and my attitudes. why call it me. Why call the 'me' a reincarnation of that person. It just doesn't make sense.