High-strength　graphene　is　an　ideal　reinforcer　in　preparing　the　composites.　In　this　study,　the　binding　ability　of　graphene　to　Al,　Cu,　Zn,　Li,　and　Mg　metal　atoms　and　the　mechanical　properties　of　graphene　metal　composites　are　analyzed　by　the　first-principle　calculations.　The　results　show　that　the　adsorption　of　metal　atoms　causes　lattice　distortion　of　graphene　to　the　certain　level,　and　Al,　Cu,　and　Li　atoms　have　an　adsorption　potential　well　on　graphene　sheets,　and　the　two　atoms　spontaneously　form　a　bond.　Moreover,　the　explicit　electronic　interaction　between　metal　atoms　and　carbon　atoms　results　in　different　adsorption　energies　of　metal　atoms.　The　mechanical　properties　of　interface　structure　between　(111)　crystal　plane　and　graphene　were　studied　by　using　the　equivalent　cubic　system　elastic　constants.　Compared　with　other　metals,　the　Cauchy　pressure　criterion　of　composite　structure　formed　by　FCC　Al　crystal　and　graphene　is　37.4　similar　to　64.7%　higher　and　the　modulus　are　up　to　59.8%　higher,　which　reflect　stronger　elasticity,　good　ductility,　and　strong　anisotropy.