The present invention includes a post-cooling temperature sensor that measures a temperature of the machining fluid immediately after being cooled by a cooling device as a post-cooling fluid temperature, and an intra-tank temperature sensor that measures a temperature of the machining fluid in a work tank as an intra-tank fluid temperature, for a cooling control device that controls a fluid temperature of the machining fluid in a wire electric discharge machining apparatus, and the cooling control device has a first temperature-feedback control unit that feeds back the post-cooling fluid temperature into a cooling instruction value as an instruction value for the cooling device, and a second temperature-feedback control unit adjusts the cooling instruction value by feeding back the intra-tank fluid temperature to cause the intra-tank fluid temperature to follow a target temperature.