The invention discloses a compressor for an air conditioning system. The compressor comprises a cylinder body, a clutch assembly, a piston and a wobble shaft transmission mechanism, wherein a front cover and a rear cover are respectively arranged on two ends of the cylinder body, the wobble shaft transmission mechanism comprises a main shaft and a wobble plate, the wobble plate is connected with the main shaft by a certain angle, a groove is formed in the middle of the piston, the edge of the wobble plate is inserted in the groove, hemispheres are arranged between the two sides of the edge ofthe wobble plate and the groove, an oil storage cavity is formed in the cylinder body and below the wobble plate transmission mechanism and is used for containing lubricating oil, and an oil through hole is formed in the cylinder body. The compressor for the air conditioning system not only is convenient to assemble and high in assembling precision, but also is capable of greatly reducing the friction among parts, decreasing the kinetic energy consumed due to friction, reducing frictional heat, improving the refrigeration efficiency of the compressor, and also prolonging the service lives of all parts and components.