According to the structure for damping the pulsations of discharge pressure of a compressor of the present invention, in the annular discharge chamber 28 divided on the outer circumferential side in the rear housing 5, two bulkhead sections 35 are extended from positions on both sides of the outlet 23 in the circumferential direction in such a manner that they are separate from each other. The end portion of each bulkhead section 35 is extended to halfway between the first discharge port section 20 and the second discharge port section 21. The flow path from the first discharge port section 20 to the outlet 23 is directed to the opposite side to the outlet 23 and then turned back to the outlet 23. Therefore, the length of the flow path from the first discharge port section 20 to the outlet 23 becomes relatively long.