In most of the shortest path problems like vehicle routing problems and network routing problems, we only need an efficient path between two points-source and destination, and it is not necessary to calculate the shortest path from source to all other nodes. This paper concentrates on this very idea and presents an algorithm for calculating shortest path for nonnegative weighted undirected graphs. The algorithm completes its execution in O(|E|) for all targeted graphs-where no successor node updates predecessor node. The main advantage of the algorithms is its simplicity and it does not need complex data structures for implementations. Copyright 2009 ACM.