Conventional single-ended traveling wave fault location method exists inaccurate remote location problem. A new single-ended traveling wave solution is presented. The fundamental principle is that there exists phase difference between the fault point voltage before fault and the initial travelling wave voltage and the absolute value of the correlation coefficient between the two is 1. By measuring the pre-fault and after fault voltage and current the initial traveling wave and voltage of the transmission line can be obtained. Of all these absolute correlation coefficients, the one of the largest value is the distance of the fault point. Compared with the traditional traveling wave solutions, the new method can get the fault distance accurately even when the fault point is near the opposite bus bar.