The forward looking laser fuze could detect target range persistently, use range information to control the point-of-burst. The deviation of point-of-burst control is the key indicator that affecting the operational performance of air defense missile. Therefore, it is necessity to analyze the precision of point-of-burst control based on laser fuze. Under the assumption that guidance integrated fuzing(GIF) and uniform motion in the intersection stage, the global observability of point-of-burst was estimated based on sequential ranging. Then the Cramer-Rao lower bound(CRLB) of point-of-burst control precision was obtained when the ranging data met estimation errors of zero-mean additive Gauassian distribution. The system parameters such as miss-distance, initiation angle and spatial sampling rate which all influenced the control precision of point-of-burst were analyzed through numeric calculation. It provided reference for the design of high resolution laser ranging fuze.