The present invention relates to an apparatus for continuously cooking and cooling, in water, food products in general and meat products in particular, comprising a cooking basin (2) and a cooling basin (3), said basins being operatively interconnected to one another.In said basins, driving means for continuously transferring supporting frameworks (10) which support molds holding therein a product to be processed being provided.Moreover, pumping and thermal processing means (20) are additionally provided for pumping and processing a circulating fluid which is circulated according to cross flows substantially perpendicular to the transfer direction of said frameworks.