Successive improvement of microprocessor performance makes the deadbeat control applied more widely in active power filter. However, the deadbeat control is susceptible to the noise when it is used to deal with the instantaneous current sampling data. This paper proposed a predictive deadbeat control method based on coherent average. It would suppress the effect of noise on compensation performance, improve compensation accuracy and ensure fast dynamic response. The simulation results in the shunt single-phase active power filter show that the method proposed could predict the command current more accurately in low signal-to-noise ratio and track the command current change fast while the load current changes suddenly.