Supporting passages from a Christian point of view
There are several verses that some claim support reincarnation:
Jeremiah 1:4–5
The 'Word' came to Jeremiah, and said "Before I formed thee in the belly I knew thee; and before thou camest forth out of the womb I sanctified thee, and I ordained thee a prophet unto the nations." This verse has been used by Traditional Christians as evidence that God has foreknowledge of persons and events  that is not limited by time and space. Christians who believe in reincarnation may see this verse as evidence ability to "know" a person throughout a variety of reincarnated lifetimes.
Elijah became John the Baptist
Jewish priests were sent to ask John the Baptist, "Art thou Elijah?" (John, 1:21), which is seen as supporting the conception that Jewish priests believed in the theory of reincarnation. Christ spoke words concerning John the Baptist which are unambiguous and unequivocal: he said, "this IS Elijah." (Matthew 11:14). Later on, upon the Mount of Transfiguration, the Christ said, "Elias is come already, and they knew him not, but have done unto him whatsoever they listed… Then the disciples understood that He spake unto them of John the Baptist." (Matthew 17:12,13).
Matthew 11:14
Jesus is recorded as saying: "And if you are willing to receive and accept it, John (the Baptist) himself is Elijah who was to come1". Most traditional Christians prefer to interpret this verse only in a loose fashion to mean that John was only like Elijah. For those Christians who advocate a belief in reincarnation, this verse is interpreted more strictly as meaning exactly what it says, namely that John the Baptist is/was Elijah the prophet himself, which in this strictly interpreted context could only mean that John the Baptist was the reincarnation of Elijah. One related consideration that Christian advocates of reincarnation address concerning the fact that John 1:19–21 appears to contravene Matthew 11:14, denying that John the Baptist is/was Elijah reincarnated, this view ignoring the idea that John the Baptist did not know that he was Elijah. Christian advocates of reincarnation propose that this apparent Biblical contravention in John of what is stated in Matthew may have been a later editorial insertion by doctrinal purists. These types of corrective insertions in John, contravening the first three Gospels, appear to them to have also been added in many other instances within John as well, the gospel of John generally being agreed by Liberals adherent to Higher Criticism to have been written several years after Matthew.
Matthew 17:11–13
Another reference by Jesus that equates John the Baptist with Elijah.
John 9:1-3
The disciples observe a man who was born blind, and inquire of Jesus whether the man himself or his parents sinned, that he was born blind. Some interpret this question to imply that the man would have had some opportunity to sin prior to birth, which at least presupposes the pre-existence of the soul in a situation where there was free will and the ability to commit sin. Jesus replies that in this case neither the man nor his parents sinned, but he does not rebuke the disciples in any way for their belief that it would have been possible for the man to sin prior to birth. This can be and has been interpreted in many ways.
Galatians 6:7
"Whatever one sows, that he will also reap". Some feel that this agrees with the idea of enforced karma, a basic tenet of some other religions that hold the belief in reincarnation; however it also agrees with the concept of divine justice, and of each person being judged fairly, a central tenet of Christianity. The subsequent verses seem to imply that a certain amount of time may pass before a just person reaps their true reward: "at the proper time we will reap a harvest if we do not give up". However there is no indication that this time might span more than one lifetime. In any case, those who attempt to use this verse to prove that the Bible endorses the concept of karma suffer the same burden as those who attempt to use Hebrews 9:27 to disprove reincarnation. It is problematic because, by itself, it does not prove reincarnation and is only a single verse. The fact that it was written by the Apostle Paul, and not a saying of Jesus, may also influence Christians who give more weight to Jesus' teachings than to Paul's.
http://en.wikipedia.org/wiki/Bible_and_ ... on#Judaism