To solve the problem of unsatisfactory accuracy of fault location caused by the offset effect of transmission line fault signals, a linear transient mixed line model is established. The fast independent component analysis (FastICA) is used to analyze the original data (observed signals) of the collected multi-channel faults and extract the components that characterize the fault features one by one. The energy ratio function is used to solve the fault component, and the energy ratio threshold is set to locate the fault moment to realize the line precise measurement based on the traveling wave principle. The influence of fault characteristics on the accuracy of fault location under the condition of large interference is disturbed by noise signals. In this regard, FastICA algorithm can separate the noise signal from the original data of the fault to avoid the influence of noise on fault location process and further improve the accuracy of fault location on transmission lines. The simulation results show that the proposed method can effectively avoid the influence of noise interference, adapt to fault location under large interference conditions and have good anti-interference ability. This work is supported by National Natural Science Foundation of China (No. 51267001), Guangxi Natural Science Foundation (No. 2014GXNSFAA118338), Guangxi Scientific Research and Technical Development Project (No. 14122006-29) and Nanning Scientific Research and Technical Development Project (No. 20165186).