In this research, we have Modified Vogel's Approximation Method (MVAM) to find an initial basic feasible solution for the transportation problem whenever VAM was developed in 1958. Three methods North West Corner Method (NWCM), least Cost Method (LCM) and Vogel's Approximation Method (VAM) have been used to find initial basic feasible solution for the transportation model. We have taken same transportation models and used MVAM to find its initial basic feasible solution and compared its result with above three methods, but MVAM gives minimum transportation cost and also optimal and in some problems the result of MVAM is same as VAM but better than NWCM and LCM.