Do Muslims believe in reincarnation?

Muslims do not believe in Reincarnation.

Muslims believe that everyone dies one death. After this is a different type of existence within the grave, waiting for the Day of Resurrection. On that Day, everyone will be raised up physically from their graves and stand before their Creator to be judged according to their deeds. Those who the Creator has mercy on will enter Paradise, those who He exacts justice upon will enter the Fire.