A new approach namely, row-column minima method is suggested to find an optimal interval solution for fully interval integer transportation problem (FIITP). In the proposed method, the given FIITP is decomposed into two transportation problem as upper (UBITP) and lower (LBITP) and by applying row-column minima method so as to get the optimal interval solution. Fuzzy concept, midpoint, centre, width, interval ordering and multiobjective technique were not used. The proposed method is easier and also, simply because of arithmetic calculation. Using the proposed method, the numerical example is illustrated. © IJSTR 2020.