An apparatus and method for controlling an operation of a reciprocating compressor are disclosed in which a frequency is variably controlled to uniformly maintain a phase difference between current and stroke, a load is determined with a size of frequency at a point of time when the phase difference between the current and the stroke is uniformly maintained, and capacity is varied according to the determined load, to thus improve an operation efficiency. The apparatus for controlling an operation of a reciprocating compressor includes: a control unit for detecting a phase difference between current and stroke and outputting a frequency variable signal or a frequency detect signal based on the detected phase difference; a load detecting unit for detecting a current operation load according to the frequency detect signal; and a stroke reference value determining unit for determining a stroke reference value corresponding to the detected load.