In the suction valve structure of the piston type compressor of the present invention, the primary suction valve 38 is a flexible deforming valve composed of a deforming section 381, which is supported and bent by a cantilever method, and a closing section 382 which connects with a forward end of the deforming section 381 and closes the primary suction port 21. The auxiliary suction valve 39 is a flexible deforming valve composed of a deforming section 391, which is supported and bent by a cantilever method, and a closing section 392 which connects with a forward end of the deforming section 391 and closes the auxiliary suction port 22. In the present invention, the length of the deforming section 381 of the primary suction valve 38 is approximately the same as that of the deforming section 391 of the auxiliary suction valve 39, however, the width of the deforming section 381 of the primary suction valve 38 is made larger than that of the deforming section 391 of the auxiliary suction valve 39.