Suction muffler connector, and compressor therewith, the suction muffler connector in a compressor having a suction pipe for guiding refrigerant into the compressor, and a suction muffler for attenuating noise of the refrigerant in the suction pipe including a connection pipe having one side connected to the suction pipe for guiding the refrigerant to the suction muffler, and a connection pipe fitted to surround the connection spring for preventing exposure of an outside circumference of the connection spring, having a top part held at an inlet to the suction muffler, thereby preventing leakage of refrigerant introduced into the suction muffler.