This paper proposed an optimization design method based on QFD (Quality Function Deployment). The EHA (ElectroHydrostatic Actuator) system parametric relationship matrix (PRM) and constraint conditions were defined with the minimum energy consumption and the lightest actuator mass as the objective to establish its optimal design model. Finally, the genetic algorithm was used to optimize a certain type of EHA design parameter as an example. After optimization, the weight of EHA was reduced by 23.57% and the energy consumption was reduced by 36.46%. The optimization results show that this design method is worthy of promotion and application in EHA design.