The invention discloses a compressor and an air conditioner. An oil circulation structure is arranged in the compressor, the oil circulation structure comprises an oil storage structure and an oil supply path, the compressor further comprises an oil pump, the oil pump is arranged in the compressor, an inlet of the oil pump is communicated with the oil storage structure, and an outlet of the oil pump is communicated with the oil supply path. According to the compressor, the oil pump is arranged in the compressor, so that the distance between an oil supply point and an oil demand point of the compressor is shortened; when the compressor just runs, the whole runner space can be rapidly filled with lubricating oil, and therefore, the problem that oil supply of the compressor is delayed is solved; and moreover, the oil pump is arranged in the compressor, so that the space for installing the external oil pump can be saved, leakage caused by oil way faults can be avoided, and the operation reliability of the compressor is improved.