In this paper, the Vogel’s approximation method (VAM) with imprecise parameters is performed in a solid transportation problem (STP). Here, for the first time, fuzzy ranking tool is introduced for the different type of operations, comparisons presence in VAM. Convert the obtained basic feasible solution (BFS) into an optimal solution by the method fuzzy modi-indices. Finally a numerical example is taken into account to support the method in imprecise environment. More-over, sensitivity analysis along with bounded technique is given.