Abstract: The present invention relates to a method for combustion of a biological material by means of microwave radiation, said method comprises providing said biological material to be combusted, wherein the biological material includes a human or animal body or body part, and optionally a container and an apparatus comprising a chamber and a source of microwave radiation; and directing microwave radiation at a power of at least 5 kW from said source of microwave radiation to said biological material to directly heat and combust said biological material in said chamber. The present invention further relates to a process for cremating a human or animal body or body part comprising said method.