Modeling and analysis of single phase inverter are usually based on integer order calculus, regardless of the fractional characteristics of inductors and capacitors. This approximate will bring a deviation with the real system. Aiming at this problem, this paper analyzed the behaviors of the fractional order capacitors and fractional order inductors and proposed the fractional model of single phase voltage type inverter. Then, the differences between integer model and fractional model about the inverter are compared. The results show that the percentage error in the integer model and the fractional model is 9.38% and 1.56%, respectively. In other words, the fractional model is more accuracy to simulate the real system.