In order to improve the performance of missile guidance law, a new fuzzy extended proportion guidance law was researched. The line of sight (LOS) angular rate and the LOS angular acceleration were used as the controller inputs. By means of normalizing the inputs and fuzzy logic calculation, the instruction regulating factors can be acquired. According to the max normal acceleration and instruction of regulating factors, a guidance instruction was obtained. Compared with traditional PNG laws, the simulation demonstrates that the fuzzy controller acquires higher impact accuracy with lower control.