One of the most common methods of projects management of the implementation of construction projects is the Project Management Triangle (PMT), this method give the balance between the three heads of this triangle time, cost and quality. In addition, the main principle is integrating the design and construction phases in a parallel way, where the basic elements of the project time, cost and quality will not be influenced by each other. some of the projects are established by some construction companies in developing countries in the world have been failed to manage and solve the weaknesses points in these projects and sometimes failures due to the increase in cost or the low level of quality, as found by the field survey. Therefore, the research aim is to develop and apply the general planning mechanisms of the project to get the development of projects detailed plans to control the factors time, cost and quality of the executed works. The main results of the study were, depending on the choice of the target function, can give early or late start times by linear programming solutions for all nodes or events in the project domain; so the early start times of the project should be determined first. The supposed project domain includes a number of nodes ranging from (1-m), as node (1) led to represent the opening of the project activity work and node (m) represent the end of the project and that will be found the balance between the (PMT) elements.