The Catechism in Questions & Answers

539. Is there a reincarnation of the dead?

No. Any notion of repeated lives on earth (reincarnation), whether as a human being, animal, or plant, contradicts the statements of the Bible and thus the content of the gospel: “[...] it is appointed for men to die once” (Hebrews 9: 27).

The term ‘reincarnation’ refers to different conceptions—none of which are consistent with Christian doctrine—of repeated human existence on earth in various forms.