Disclosed herein are a cylinder assembly for compressors, a compressor with the cylinder assembly, and an apparatus having a refrigerant circulation circuit with the compressor. The present invention provides the cylinder assembly, which has a simple structure and is designed to further reduce a pulse noise. The cylinder assembly includes a cylinder block having two exhaust mufflers. Each of the exhaust mufflers is opened at an end thereof. A frame is mounted to the cylinder block to cover the open ends of the exhaust mufflers. At least one channel is formed at a junction between the cylinder block and the frame to allow a refrigerant to flow between the exhaust mufflers. Further, the cylinder assembly of the present invention is applied to a compressor, and the compressor of the present invention is applied to an apparatus having a refrigerant circulation circuit. The present invention allows a refrigerant exhaust pulse to be further reduced, and simplifies a construction of the cylinder assembly, thus increasing the assembling efficiency and the productivity of the compressor having the cylinder assembly, and reducing the manufacturing cost of the compressor, and reducing a size of the compressor.