The free vibration of a cracked functionally graded graphene reinforced metal foam beams is analyzed in this paper. Modeling was carried out with Timoshenko beam theory, cracks were simulated by mass-free elastic torsion springs, and material effectiveness was predicted with Halpin-Tsai micro-mechanical model. The motion equation and boundary conditions of a cracked functionally graded graphene reinforced metal foam (FG-GPLRMF) beams are obtained by Hamilton's principle. Free vibration of FG-GPLRMF beams is analyzed by differential transformation method. The results show that the vibration characteristics of FG-GPLRMF beams are influenced by the geometrical size of graphene, the pore type and the distribution of graphene platelet.