In order to solve the problem of low speed impact load location recognition on composite structures, the relationship of skewness, kurtosis of the impulse response signal time series sensed by fiber Bragg grating (FBG) sensors and the distance from sensors to the load is analyzed by constructing a distributed FBG sensing network. The location of impact load and the distance to each sensor are identified by the skewness and kurtosis of impulse response signals perceived by different position sensors. The weighted centroid localization algorithm is used to locate the impact load location. The experiment results show 16 test samples are randomly selected from the monitoring area of 240 mm×240 mm on the carbon fiber reinforced plastics board for low-speed impact positioning and recognition. The identifications of all impact test points are achieved. The average error of coordinate positioning is 20.7 mm. The research results provide a reliable method for the location identification of low speed impact on carbon fiber reinforced plastics structures.