A process for the integration of a cryogenic air separation plant and an oxy- combustion power plant is presented. This process also includes heating a pressurized nitrogen stream (52) and a pressurized oxygen stream (54) with a compressed air stream (51) that is extracted from the air compressor of a cryogenic air separation plant (1), thereby forming a heated pressurized nitrogen stream and a heated pressurized oxygen stream. This process 'also includes burning a fuel stream with said heated pressurized oxygen stream to produce a flue gas stream, heating said heated pressurized nitrogen stream to form a hot pressurized nitrogen stream (14), then work expanding said hot pressurized nitrogen stream to a lower pressure thereby forming a hot exhaust nitrogen stream and recovering energy. And this process also includes heating said boiler feed water stream (13) by indirect heat exchange with said hot exhaust nitrogen stream.