The invention relates to a prefabricated composite floor slab fixing mounting construction method. Equipment adopted by the method comprises a moving device, a hydraulic cylinder, a positioning deviceand a fixing device, wherein the hydraulic cylinder is fixedly installed at the upper end of the moving device, the positioning device is fixedly installed at the upper end of the hydraulic cylinder,the fixing device is fixedly installed at the front end of the positioning device, the positioning device comprises a fixing plate, an electric push rod, a supporting plate, balls, a rubber plate anda positioning block, and the fixing device comprises a telescopic support, a rectangular long plate, a small motor, a rotating frame, a first gear, a second gear and a lifting rope frame. According to the method, through cooperation between the positioning device and the fixing device, a composite floor slab is stressed evenly in the whole moving and fixing mounting process, the surface is not damaged, and through cooperation among the moving device, the positioning device and the fixing device, the equipment can freely move in a small working space, so that the purpose of positioning the composite floor slab is achieved.