The operating time of high repetition rate heat capacity master oscillator power amplifier (MOPA) laser usually lasts for only several seconds or tens of seconds. During this time, the wavefront distortion of the output beam is changing all the time. A method of sensing the wavefront of high repetition rate heat capacity MOPA system by a cyclic radial wavefront shearing interferometer (CRWSI) was proposed. The main structure of this system has been designed. A simplified experimental system was established. A plano-concave lens instead of the optical amplifier was used to generate wavefront distortion. Based on this system, the measurement accuracy of CRWSI was certified. The results show that the difference between the experimental result and the theoretical result is 7.8% (0.02λ).