"The incineration of the body is not in keeping with the traditions and actions of the Church, for anthropological and theological reasons," the Church said in a statement yesterday.
Cremation was only made legal in Greece in 2006 and there is still nowhere it can be carried out in the country.
That has not stopped the Church labelling a new law on procedures for cremation as "nihilism" which contributes to "the suppression of religion" and a "lack of respect for the human body".
No Greek government has yet authorised the construction of a crematorium in a country where religion continues to play a major role in public life.
The mayors of Athens and Thessaloniki, Georges Kaminis and Yannis Boutaris, have long called for crematoriums in the face of dwindling space for cemeteries but have been repeatedly rebuffed.