A piston type compressor having a cylinder block in which a plurality of compression chambers permit a plurality of pistons to be reciprocated so as to compress a refrigerant sucked from a suction chamber formed in an end housing into the compression chambers through suction ports of a valve plate openably closed by a plurality of suction reed valves. The compressor also has a valve stop construction for stopping the movement of the suction reed valves when the valves reach the opening position thereof apart from the valve plate. The valve stop construction includes recessed seats formed in an axial end face of the cylinder block so as to permit a portion of the free end of respective suction reed valves to be first seated on the recessed seats, and to permit the remaining portion of the free end of the suction reed valves to be stably seated on the recessed seats. The gradual stoppage of the suction reed valves suppresses vibration of the valves and prevents noise.