The present paper aims to propose an alternative solution approach in obtaining the optimal interval to an interval transportation problem (ITP) in which the cost-coefficients of the objective function, source and destination parameters are all in the form of interval. In this paper, the single objective interval transportation problem is transformed into an equivalent crisp bi-objective transportation problem where the left-limit and width of the interval are to be minimized. The solution to this bi-objective model is then obtained with the help of fuzzy programming technique. A set of twenty random numerical examples has been solved using the proposed approach. A comparative study has also been made between the proposed solution method and the method proposed by Das et al.(1999) which shows that the proposed method provides better solutions for eleven out of twenty problems.