Based on the programmable SNS Josephson junction array, this paper studies a driving method of AC quantum voltage. According to the I-V characteristics of Junction array, this method realizes the synthesis of the AC quantum voltage by controlling the bias status and combination mode of each segment. Using the voltage driving method, and applying the node current method to calculate the bias circuit parameters, the bias module is designed, and the AC Josephson quantum voltage system is built. The experimental results show that the settling time of bias current is 1.27 μs, the stability is better than 6 nA/min, and the output current resolution is 0.01 mA. This method has synthesized an AC quantum voltage with 50 Hz, 40 sampling points per cycle, 1 V RMS.