Abstract: In order to study the transportation problem under the condition of incomplete and imprecise information, a multi-objective fuzzy transportation problem(MOFTP) is established.Its cost coefficients, source coefficients and destination parameters are represented by triangular fuzzy numbers.Fuzzy objective functions are transformed into classical multi-objective functions according to the ordering method for triangular fuzzy number.At the same time, equality constraints are transformed in to inequality constraints in the light of definition of triangular fuzzy number.And then, multi-objective linear programming problem equivalent to MOFTP is established after integrating transformed multi-objective functions and constraints.At last, a numeric example is presented to illustrate the applicability of the approach proposed.