A vibration reduction structure of a reciprocating compressor comprises: a case having a suction pipe for introducing a refrigerant and a discharge pipe for discharging a refrigerant at both sides thereof; an assembly installed in the case to compress a refrigerant and composed of a cylinder, a piston, a driving unit, and a discharge valve assembly; a loop pipe installed between the discharge valve assembly and the discharge pipe with a curved shape; and a connection unit for connecting a first point of the loop pipe and a second point of the loop pipe facing the first point and thereby reducing a vibration transmission. According to this, vibration generated as the piston is operated can be transmitted to the compressor through many paths including the loop pipe and the additional connection unit. Also, generated vibration can be canceled to each other due to its phase difference, thereby preventing vibration from being transmitted to the entire case. Also, a damage of the connection part of the loop pipe due to vibration can be prevented, and a reliability of the product can be enhanced.