A method was proposed to solve the problem of the resource-constrained project scheduling with imprecise activity du-rations .Some imprecise activity durations and fuzzy resource allocations in the real project scheduling were analyzed .On the ba-sis of the fuzzy set theory ,the model was established .A method based on the ant colony algorithm was proposed to solve the project scheduling algorithm with imprecise activity durations .The initial node of artificial ants was selected based on the proba-bility principle of priority to avoid the limitations of the excessive convergence resulting from single probability selection and to improve the quality of the solution ,then the selections of important parameters used by the algorithm were analyzed and de-scribed ,and the calculation method of the parameters was given .Finally ,results of the simulation and verification examples were compared with that of other experiments ,which show the method is effective and feasible .