Contractors usually have a significant role in construction projects' success, thus, the right choice of contractor is a decisive mission of the project's owner, which generally has a great effect on the success of a construction project. While the donor policy in bidding to the lowest price one in construction sector is very critical issue; as it is considered as a risk that cause deviation occurrence negatively and indirectly of the cost of construction projects. Cost saving and reduction should start with the method of contractors' choice as it isn't confined to financial aspects only but also, technical, managerial, project resources and political aspects. The purpose of this paper is to present an approach (CPCME) that can assess the bidders after filling their assessment and evaluation forms (A proposed checklist adopts AHP method), then comparing among them by the total of collected points for each form. Finally, it can be easily to select a contractor, but, acutely it is important to select the most qualified one.