Abstract In practical project management cases, they company many complex resource and large-scale related activities. Especially, it is under the conflict and incommensurate of time and cost, that makes it more difficult to make decision. Hence, we construct fuzzy multiobjective programming model from CPM technique, by this we emphasize the selectable flexibility among the feasible projects, and describe the decision problem brought from uncertainty and complex in project. In this paper, we relax the consumed time and cost of activity events when assumptions are certain to merge the practical situation. We applied fuzzy number to express estimate time and cost. It based on Lee and Li method to solve this problem. Finally, we employ numerical example to explain it, and LINGO package to calculate.