Abstract: A new method for the solution to project problem of resource distribution is develo-ped. It is a heuristic method finding the satisfied solution. The problem is transformedinto a so-called 'Chessman-Check' problem presented by the authors. The transformationregards the task as the Chessman and the resource as the Check. Thus the solution for theproject problem hardly soluble by operations research can be obtained by solving the Ches-sman-Check problem. Based on the combination of Herbert A. Simon's idea of satisfiedsolution and heuristic search, the new method takes advantages of both the computer andthe heuristic ability. It is also the research work in the area of artificial intelligence andmanagement science.