A multi-cylinder reciprocating compressor includes a cylinder block provided with a plurality of pistons each for performing a working fluid suction stroke and a working fluid compression/discharge stroke, and a cylinder head arranged adjacent to the cylinder block. The cylinder head defines therein a discharge chamber and an annular suction chamber surrounding the discharge chamber and has a plurality of cross walls arranged at intervals in a circumferential direction thereof. The cross walls reduce the cross-sectional flow area of the suction chamber.