Disclosed herein are a suction muffler for compressors, a compressor with the suction muffler, and an apparatus having a refrigerant circulation circuit including the compressor. The present invention allows an amount of a refrigerant sucked into a compression chamber to be maximized, and allows suction noise generated during a suction stroke to be minimized. The suction muffler includes a refrigerant channel, and an outer casing. The refrigerant channel communicates at an inlet thereof with a suction pipe which guides a refrigerant to a compressor, and controllably communicates at an outlet thereof with a compression chamber in which the refrigerant is compressed. The outer casing has a structure to convert a flowing motion of the refrigerant into a spiral flowing motion while the refrigerant flows from the suction pipe to the inlet. At least one resonance chamber is formed around an outlet of the refrigerant channel. The compressor having the suction muffler includes at least one insulating space to prevent a heat transfer between the refrigerant inside a refrigerant intake chamber and the refrigerant inside a refrigerant discharge chamber. Further, the compressor is applied to an apparatus having a refrigerant circulation circuit. The present invention increases compression efficiency of the compressor, and considerably reduces suction noise.