This article proposes a unique algorithm for the saf ety of the power transmission line.In real time power transmission line has abnormal situations include such as sudden load changes, transient switching operations and so on etc., In the process of protecting power transmission line with associated power system equipment normal electromechanical relays are not reliable for faults protection as they fail to detect faults accurately. So, the euclidean distance technique approach can work effectively even at transient situations. The recommended methodology is progressively precise to recognize faults in the electrical transmission line. With help of MATLAB / SIMULINK software for a 300km,400kv electrical tra nsmission line, the accuracy of the proposed scheme was evaluate d by varying fault index and fault resistances.