An indirect hysteresis voltage digital control is proposed for single-phase half-bridge inverters. Because of the slow response to the switching modulation, it is difficult to control the voltage by hysteresis method directly. In this study, the output voltage is controlled indirectly by using the adaptive band hysteresis current control, which is fast response, robustness, and independent on the system parameters. The reference current is computed based on the desired reference output voltage, and the hysteresis band is controlled to maintain the switching frequency at a constant value. Simulation results show good performances of the proposed control method in both cases: ac and dc reference output voltage.