Abstract: In order to meet the requirement of the driver and the demand in vehicle dynamics when the vehicle with electronic control and hydrostatic drive accelerates, the acceleration control strategy for vehicle with electronic control and hydrostatic drive based on the theory of hydraulic motor control system in constant-pressure network was studied. The initial pressure regulating scheme and the command speed regulating scheme were proposed. The simulation on the fuel economy and acceleration performance was developed using MATLAB/SIMULINK based on mathematic model of the system and on the designed acceleration drive controller. The simulation results indicated that the two accelerating control strategies proposed in this paper could meet the driver's acceleration requirement, the command speed regulating scheme has a better fuel economy and the initial pressure regulating scheme has a better acceleration power performance. The research results can provide reference for the acceleration control of the vehicle with electronic control and hydrostatic drive.