A dead time compensation strategy based on constant frequency hysteresis control is proposed to solve the problems of control accuracy degradation and harmonic content increase caused by inverter dead time. A constant frequency hysteresis control method for phase to phase current error is introduced, and the extended state observer is used to improve the sector judgment method. Through the current path before and after the switch action, it is analyzed that the error during the dead time will exceed the upper or lower limit of the hysteresis width. The magnitude of the error exceeding the loop width is calculated in real-time, and the actual ring width is adjusted to make the error just reach the expected ring width, so as to achieve the purpose of dead time compensation. The simulation of the inverter based on constant frequency hysteresis control verifies that the proposed strategy can accurately compensate the dead time.