A valve member driving device capable of bidirectional movement includes: a main body with two gas chambers, a first gas-inlet opening, a first gas-inlet channel, a second gas-inlet opening, and a second gas-inlet channel; a first piston rod with a first flow passage; a second piston rod with a second flow passage; a first guide rod extending into the first flow passage at one end and having a gas socket and a gas hole in communication with the gas socket; a second guide rod extending into the second flow passage at one end and having a gas-guiding flow passage; a valve cylinder fixedly provided on the first piston rod and having a valve-cylinder gas chamber, an advance channel, a withdrawal channel, and a valve-cylinder piston rod; and a valve member fixedly provided on the valve-cylinder piston rod.