The invention discloses a driving circuit of a rapid tripping relay. The driving circuit comprises a direct-current voltage source U, a switch K1, a coil K2, an RC parallel circuit and a diode D1; thepositive electrode of the direct-current voltage source U is connected with the positive electrode of the diode D1 through the switch K1; the negative electrode of the diode D1 is connected with oneend of the RC parallel circuit; the other end of the RC parallel circuit is connected with the positive electrode of the coil K2; the negative electrode of the coil K2 is connected with the negative electrode of the direct-current voltage source U; and the rated working voltage of the coil K2 is smaller than that of the direct-current voltage source U. With the driving circuit of the rapid tripping relay adopted, the pull-in time of the relay can be shortened; a condition that the relay is connected into a reverse direct-current voltage source and is damaged can be eliminated; current freewheeling and arc extinction can be realized at the moment when the relay coil is powered off; and the diode and the coil can be protected.