Worldwide, children can be found who reported that they have memories of a previous life. More than 2,500 cases have been studied and their specifications have been published and preserved in the archives of the Division of Perceptual Studies at the University of Virginia (United States). Many of those children come from countries where the majority of the inhabitants believe in reincarnation, but others come from countries with different cultures and religions that reject it. In many cases, the revelations of the children have been verified and have corresponded to a particular individual, already dead. A good number of these children have marks and birth defects corresponding to wounds on the body of his previous personality. Many have behaviors related to their claims to their former life: phobias, philias, and attachments. Others seem to recognize people and places of his supposed previous life, and some of their assertions have been made under controlled conditions. The hypothesis of reincarnation is controversial. We can never say that it does not occur, or will obtain conclusive evidence that it happens. The cases that have been described so far, isolated or combined, do not provide irrefutable proof of reincarnation, but they supply evidence that suggest its reality.