For the positioning problem of non-cooperative space target， a bearing-only positioning method considering acceleration compensation is proposed. The bearing-only geometric positioning method for non-cooperative space target is introduced. An acceleration estimation method is proposed to complete the filter design considering acceleration compensation. An approach based on the measurement residual is developed for maneuver start and end detection. When the non-cooperative space target is considered to be maneuvering， the positioning error caused by unknown acceleration is reduced by acceleration compensation. The simulation results show that the maneuvering criterion proposed can effectively determine whether the target is maneuvering， and the method proposed in this paper can effectively improve the positioning accuracy during the maneuvering of the non-cooperative space target.