Steering control strategy for high-speed tracked vehicle with hydrostatic drive is designed based on analyzing the fundamental steering theories of the hydrostatic drive tracked vehicle. The steering controller consists of fuzzy PID controller and pump & motor displacement controller. The simulation by SIMULINK of MATLAB indicates that the driver's expected steering radius can be achieved by reducing average vehicle speed automatically in the case of safe steering and not exceeding the system pressure threshold. It is demonstrated that good steering stability and maneuverability are obtained with fuzzy PID control for tracked vehicle with hydrostatic drive.