The impacts of graphene nanosheets content on microstructure, nano-mechanical and tribological properties of the copper matrix composites were investigated. The graphene nanosheets randomly distributed in copper matrix, which obviously hindered its grain growth. The elastic modulus and nano-hardness of the copper matrix composite with 0.2 wt％ graphene nanosheets were enhanced 47.5％ and 54.7％ compared to these of pure copper, respectively. The average creep degree (5.1％) was lower than that (11.8％) of pure copper in holding stage. The creep rate (ca. 0.016 nm/s) decreased 10 times as that (ca. 0.16 nm/s) of pure copper in steady-state creep. The tribological performances were improved dramatically with increase of graphene nanosheets content.