Advantages of graphic analysis and design method of optical resonator using propagation-circle and transform-circle are simple,visualizable and intuitionistic.This method has important applications in the analysis and design of laser resonator.The analysis and design of several main kinds of laser resonators including resonator containing a thermal lens,thermal compensating and adaptive resonator,resonator of high power and high brightness solid state laser and LD pumped solid state laser with flat-flat cavity were made and described by using graphic analysis and design method.