A compressor and an air conditioner having same. The compressor comprises: a first-stage air cylinder (10), comprising a first-stage compression chamber (11); and a second-stage air cylinder (20), comprising a second-stage compression chamber (21) and an air storage chamber (22). A refrigerant flowing out of the first-stage compression chamber (11) enters into the second-stage compression chamber (21) by means of the air storage chamber (22), and the flow area of the air storage chamber (22) is larger than the area of an air outlet of the first-stage compression chamber (11). The compressor effectively resolves the problems that the power consumption of the compressor is increased and the performance is reduced due to large resistance loss in the air cylinder of the compressor.