A dead-time voltage compensation apparatus and a dead-time voltage compensation method are provided. The method includes: converting a DC voltage of an input end of a single-phase DC-AC inverter into a unipolar AC voltage; calculating first to third current values based on a first inductor current value of a inductor, calculating first voltage compensation amounts of a first dead-time and a third dead-time of an AC voltage and a second inductor current value of the AC voltage based on polarities of the first to third current values, calculating fourth to sixth current values based on the second inductor current value, calculating second voltage compensation amounts of a second dead-time and a fourth dead-time of the AC voltage based on polarities of the fourth to sixth current values, and compensating a control reference signal of a processor based on the first and second voltage compensation amounts.