A new fault location algorithm with the distributed capacitor taken into account is presented， which is based on the line mathematical model described by differential equation and uses the information of the single terminal to locate the fault of HV power transmission line. It retains all the advantages of simple， reliable， practical algorithm for differential equation solution without the need to filter the decay direct current component and harmonics and is not affected by the change of power network frequency. It has eliminated the influence of the distributed capacitor and overcome the drawback of too big a fault location error when the distributed capacitor is large. The simulation results show that the principle of the algorithm is correct and the location accuracy is high.