The similar control method with wheel vehicles for steering tracked vehicles has been paying much attention. Based on the existing hydrostatic double flow differential transmission device, a new device adopting steering wheel turning mechanism matched with that was designed. The simulation result of outer and inner track speed vs. angle of steering wheel shows that hydrostatic double flow differential transmission device of tracked vehicles can be controlled by steering wheel. There is no power cutting off, and auto-stepless moderating velocity during steering can be realized using the same control method with wheeled vehicles. The research results provide a basis for further study of steering control over tracked vehicles with hydrostatic double flow transmission.