To figure out the fault location precisely independent of time synchronization in the distribution network with multiple branches, a novel method combining fault section locator and traveling-wave based fault locator is presented in this paper. In view of the wave dispersion effect caused by the frequency variation of the line parameters, the low frequency component of ground mode and aerial mode traveling wave is extracted by low-pass filter, then the fault distance is calculated based on the stable velocity difference between the low frequency components. In addition, aiming at eliminating the truncation error caused by the discrete sampling mechanism, through the improved correction algorithm proposed, the fault location accuracy can be improved fully under various system sampling rates. Finally, a typical 10 kV distribution network model is built in the PSCAD/EMTDC simulation platform, verifying the feasibility and effectiveness of the proposed method. This work is supported by National Key Research and Development Program of China (No. 2017YFB0903100).