A method of remote precise measurement of laser temporal power profiles was proposed. This method used the single polarization optical fiber for laser remote transmission and combined with temporal power profile recovery algorithm where the rising edge and the top profiles of laser pulses were separated and processed respectively. The experiment of temporal power profiles remote measurement of 1 053 nm laser pulses in the front end of high power laser facility was carried out. The results show that the method effectively avoids the influence of frequency modulation to amplitude modulation on the temporal power profiles measurement, and undistorted temporal waveform after remote transmission is obtained. The calculated error introduced by this measurement method is less than 0.8% per nanosecond. The proposed method can be applied to temporal waveform remote centralized measurement in high power laser facility.