Scheduling is the process of improving the performance of a parallel and distributed system. Cluster systems are part of distributed systems. Cluster systems refers to the concept of run parallel jobs that can be run simultaneously on several processors. In this paper, introduce a method based on fuzzy logic for scheduling Parallel jobs on cluster systems. The main objective is to achieve performance and power improvement. The results of the simulations indicate our introduced method is better than comparison with the algorithm FCFS and SJF. General TermsCluster Systems, Scheduling, Fuzzy Logic.