The invention relates to the technical field of internal combustion engines and particularly discloses a hydraulic force variable air valve driving device. The hydraulic force variable air valve driving device comprises a high-pressure stable pressure source, a low-pressure pressure storing mechanism, a two-position four-way valve, an air valve driver and an air valve; the output end of the high-pressure stable pressure source is connected with a port P of the two-position four-way valve; the low-pressure pressure storing mechanism is connected with a port T of the two-position four-way valve;an upper oil inlet of the air valve driver is connected with a port A of the two-position four-way valve; a lower oil inlet of the air valve driver is connected with a port B of the two-position four-way valve; and a plunger of the air valve driver is connected with the air valve. The invention further discloses a hydraulic force variable air valve driving system. The hydraulic force variable airvalve driving device can flexibly control the air valve to be opened and closed.