In this paper, a mathematical model is developed for finding a degree of influence of risks affecting the project. At risk identification step, all risks are structured in forms of block diagrams after risks of project activities are identified. At risk analysis step, reliability functions are derived based on block diagrams of risks. Reliability function represents the probability of the project success. Based on the derived reliability functions, risks importance is defined as a criterion for expressing a degree of influence of each risk affecting the success of the project, which is. Risks importance includes the structural importance of risk, the probability of risk, and the impact of risk. It could be applied to determine the priorities of risks which should be controlled, and the use of such priorities could guarantee successful project activities. Finally, examples of the proposed mathematical models will be given.