Edmonds-Karp algorithm is an implementation of the Ford-Fulkerson method for computing the maximum flow in a flow network in much more optimized approach. Edmonds-Karp is identical to Ford-Fulkerson except for one very important trait that is the search order of augmenting paths is well defined. This paper presents some modifications of Edmonds-Karp algorithm for solving maximum flow problem (MFP). Solution of MFP has also been illustrated by using the proposed algorithm to discuss the functionality of proposed method.