In this work is presented a state-of-art review of the Facility Layout Problem (FLP) and the its different solution methods, such as heuristic, metaheuristic and exact methods. Principally emphasizing in metaheuristic techniques such as Genetic Algorithm, Simulated Annealing, Particle Swarm Optimization, Ant Colony Optimization, Tabu Search and hybrid algorithm applied in the last years. Additionally some applications are shown of these methods in real and simulated scenarios.