The invention discloses an air-conditioner compressor of hybrid vehicle and a hydraulic pump driving system; the air-conditioner compressor includes an engine and an electric motor, wherein, the engine respectively drives the air-conditioner compressor and a hydraulic pump by a clutch I and a clutch II, and the electric motor respectively drives the air-conditioner compressor and the hydraulic pump by a clutch III and a clutch IV; the air-conditioner compressor and the hydraulic pump are respectively driven by the engine and the electric motor through the clutches, and a transmission system is relatively independent, so that the problem of driving the air-conditioner compressor and the hydraulic pump when the engine stops; when in driving, mechanical joint between the engine and the electric motor can be cut off, thus eliminating the mechanical load of the electric motor to the engine, and avoiding the interference caused by that the engine and the electric motor drive the air-conditioner compressor and the hydraulic pump at the same time; therefore, the problems of low energy conversion rate and high energy dissipation which are brought by the air-conditioner compressor and the hydraulic pump are separately driven by the electric motor are avoided, and the aim of energy-saving and emission-reduction is achieved.