This paper introduces an algorithm for finding the shortest path which is more powerful method than all the existing methods like Dijkstra's algorithm. Adhwarjee's algorithm is introduced to the readers for finding the shortest path. The author gives few steps to find the shortest path. This method takes less standard time than Dijkstra's algorithm. First, Dijkstra's method is explained in brief, which is readily available in books. We will concentrate on the new method of finding the shortest path. Adhwarjee's algorithm needs no table to compute. Simple addition, subtraction and finding minimum, maximum can be done mentally and posted in the network itself. In the network, the reader can see the minimum distance or time which requires to be found out.