Due to the abundant reserve and randomness of wave, the control of wave energy conversion system to capture the maximum wave energy and control the grid-connected power quality has become the core issue of wave power generation. The method of wave energy conversion device to achieve the maximum wave energy capture is briefly described. The research results of using sliding mode variable structure control, adaptive control, optimal control, intelligent algorithm, fuzzy control, and passive control to control the maximum wave energy capture and improve power quality are summarized. At last, it is pointed out that the future control algorithm should be a combination of multiple advanced control algorithms.