Abstract: Several forms of graphene defects as well as the stable configurations of platinum cluster combining with the graphene defects were analyzed using the density functional theory calculation in this study. The property of methanol molecule adsorption on platinum cluster supported on these defective graphene surfaces was also investigated and compared with the case of methanol molecule adsorption on platinum cluster supported on the perfect graphene surfaces. The results indicated that the adsorption of the platinum cluster on defective surfaces was stronger than that on the perfect surfaces and defective graphene surfaces,and played an important role in fixing platinum cluster. The graphene defects could improve the stability of platinum cluster and prevent them from sintering. Moreover,the adsorption of methanol on the platinum cluster supported on the defective surfaces was weaker than that on the perfect surfaces as a result of the stronger binding of platinum cluster with the carbon of graphene surface.