We believe that when a person dies, his soul will be reborn in another human body and that's what we call reincarnation. This idea of reincarnation is common with people who practice Hinduism and Buddhism. This people believe that life is a continuous process in a cycle. In the bible no chapter mentioned reincarnation, which means the bible never recognised reincarnation. The bible told us life is once and whenever the person dies he will never come back again to earth. After death is judgement.
The talks about resurrection instead of reincarnation. God said he will raise the dead when the right time comes which is resurrection, the people who are raised goes to heaven. They will not come back to earth to start a new life. We should never believe in reincarnation because Jesus Christ have never talked about it when he came to this world.