On the basis of the research on the orbit characteristics of the libration point, this paper analyzes the positioning method of using single chain ranging to realize satellite autonomous navigation. Established the libration point orbit and lunar orbit model, adopting Extended Kalman Filter method, through the range data estimation, implement two satellites' position determination. Verify the feasibility of the method. Different range error, different initial deviation, different libration orbit are analyzed about the way to affect autonomous navigation positioning