An apparatus for controlling an operation of a reciprocating motor compressor includes a current integrator for integrating an alternating current applied to a motor of the compressor during each one cycle thereof; and a controller for differently controlling a firing angle of a triac during the positive phase and the firing angle of the triac during the negative phase of the AC voltage applied to the motor based on the integrated value of the current. A loss in the motor can be reduced by avoiding presence of a DC component in the current applied to the motor of the compressor.