The invention relates to a method for running a bridge plug sitting tool by means of differential pressure and a bridge plug sitting tool used by the same. When a bridge plug is sit, the bridge plug is electrified from the ground through a cable, an electromagnetic valve is turned on or a rupture disk is ruptured, a liquid inlet hole is opened, or a clock is turned on to drive an upper mandrel to move, annulus fluid enters into the tool to drive a piston to move upwards due to the differential pressure with an air chamber, the bridge plug is sit, and the piston moves continuously and upwards so as to be released from the bridge plug. The bridge plug sitting tool has three types such as an electromagnetic valve control type, a rupture disk control type and a clock control type, and consists of a cable connecting joint, an upper joint, an upper outer cylinder, a middle outer cylinder, a lower outer cylinder, an adjusting nut, a push rod, one bridge plug connecting joint, an internally-arranged electromagnetic valve, an internally-arranged contact switch, an upper mandrel, a piston, an upper piston rod, a lower piston rod, another bridge plug connecting joint and the like which are in threaded connection with one another. According to the invention, the bridge plug is stable in sitting process, and small in vibration, and when the bridge plug is connected with a perforation hole in parallel, a perforation apparatus can not be vibrated to be broken; and when the bridge plug is released, the contact switch can be touched, so that a conducting wire is disconnected, and the tool provided by the invention is obvious in ground display.