In this Phd Thesis we introduce several procedures to solve the Multi-Skill Project Scheduling Problem (MSPSP). The aim is to find a schedule that minimizes the completion time (makespan) of a project, composed of a set of activities. Precedence relations and resource constraints are considered. In this problem, resources are staff members that master several skills. Thus, a given number of workers must be assigned to perform each skill required by an activity. Furthermore, we give a particula rimportance to exact methods for solving the Multi-Skill Project Scheduling Problem (MSPSP), since there are still several instances for which optimality is still to be proven. Nevertheless, with the purpose of solving big sized instances we also developed and implemented a heuristic approach.