The present disclosure relates to an air conditioner and a compressor. The compressor includes: a first cylinder assembly, including a first cylinder body and a first sliding vane, a volume control assembly, including a pressure regulator; wherein the pressure regulator is provided with a storage cavity, and the storage cavity is communicated with the variable volume control cavity; wherein the first sliding vane is configured to slide in a reciprocating manner between the first compression cavity and the variable volume control cavity along the first sliding vane groove, to change the volume of the variable volume control cavity; and the refrigerant introduced into the variable volume control cavity flows between the variable volume control cavity and the storage cavity along with a change of the volume of the variable volume control cavity.