The Buddha taught a concept of rebirth that was distinct from that of any Indian teacher contemporary with him. This concept was consistent with the common notion of a sequence of related lives stretching over a very long time, but was constrained by two core Buddhist concepts: anattā, that there is no irreducible ātman or "self" tying these lives together; and anicca, that all compounded things are subject to dissolution, including all the components of the human person and personality. At the death of one personality, a new one comes into being, much as the flame of a dying candle can serve to light the flame of another (Tucker, 2005, p.216). The Buddha's detailed conception of the connections between action (karma), rebirth, and their ultimate causes is set out in the twelve links of dependent origination.

Since according to Buddhism there is no permanent and unchanging self (identify) there can be no transmigration in the strict sense. However, the Buddha himself referred to his past-lives. Buddhism teaches that what is reborn is not the person but that one moment gives rise to another and that that momentum continues, even after death. It is a more subtle concept than the usual notion of reincarnation, reflecting the sophisticated Buddhist concept of personality existing (even within one's lifetime) without a "soul".

Buddhism never rejected samsara, the process of rebirth, but suggests that it occurs across six realms of beings. It is actually said to be very rare for a person to be reborn in the immediate next life as a human.[1] However, Tibetan Buddhists do believe that a new-born child may be the rebirth of some important departed lama.

The Buddha has this to say on rebirth[How to reference and link to summary or text]. Kutadanta continued:

"Thou believest, O Master, that beings are reborn; that they migrate in the evolution of life; and that subject to the law of karma we must reap what we sow. Yet thou teachest the non-existence of the soul! Thy disciples praise utter self-extinction as the highest bliss of Nirvana. If I am merely a combination of the sankharas, my existence will cease when I die. If I am merely a compound of sensations and ideas and desires, whither can I go at the dissolution of the body?"

Said the Blessed One: "O Brahman, thou art religious and earnest. Thou art seriously concerned about thy soul. Yet is thy work in vain because thou art lacking in the one thing that is needful."

"There is rebirth of character, but no transmigration of a self. Thy thought-forms reappear, but there is no egoentity transferred. The stanza uttered by a teacher is reborn in the scholar who repeats the word."