Abstract: A method and installation for the cremation of bodies in coffins. The coffin is placed in a crematorium furnace in the wall of which at least one burner is disposed. Conbustion occurs in a chamber of the crematorium furnace without naturally-occurring air and with the burning of the coffin supplying energy along with part of the recirculated flue gas in which oxygen has been added. The flue gas fed back to the crematorium furnace is recirculated uncooled. The temperature at the crematorium furnace is maintained by the burning coffins and the oxygen-enriched recirculated flue gas.