In this paper, fuzzy decision of resource-constrained project planning are made. The resources are classified into renewable and non-renewable types. The activities in the project may have alternative modes depending upon the dispatching, subcontracting, new techniques employed, etc. Thus, the resource requirements for each mode are different. Also, the duration of each mode is assumed to have a fuzzy character. Based on accepted risk level and the multi-objective management perspectives (completion time and cost), the mode suitable for each activity to perform the project is decided by the preliminary screening, feasible screening and priority making stages. During the analysis, the risk level is defined by α-cuts of completion time and cost. In the preliminary screening stage, the candidates of mode for each activity are chosen by the time limitation in the critical path and the requirements of non-renewable resource. In the feasible screening stages, the accepted mode-combination of the activities are chosen by the requirements of the renewable resources and by the completion time. Then the priority is decided by the fuzzy ordering in the final stage. Typical examples at different accepted risk levels are presented.