Transportation problem is a key optimization technique used these days for planning, especially, to minimize the cost. As a fact, in case of emergency, instead of cost the time plays an important role. Several researchers have been carried out research in Bi-objective transportation problem to cope up with such problems arises due to disasters. In such cases timely help and remedies become more important than any other parameters involved in the problem. Uncertainty arises due to unseen and unavoidable factors; such characteristics well formulated using fuzzy logics. Therefore, this paper discusses multi-objective transportation problem under fuzziness with S-type membership function. Problem is formulated and illustrated numerically.