Abstract: Copper (Cu) matrix composites have excellent mechanical, thermal, electrical, wear and corrosion resistance properties, and are widely used in industrial fields. Graphene (Gr) is an ideal reinforcement phase for metal matrix composites due to its two-dimensional features and excellent physical properties. Gr reinforced Cu have expanded the applications of Cu and its alloys. Appropriate preparation methods can achieve excellent electrical and thermal conductivity while maintaining the excellent mechanical properties. Gr in Cu matrix mainly exist in the form of reduced GO (r-GO), graphene nanosheets or connected with metal oxide/carbide nanoparticles to enhance the interface bonding. Therefore, the structural integrity and the form of graphene in Cu matrix directly affect its performances. In this review paper, the preparation and simulation methods of Cu/Gr composites, the evaluation on the performances and the interaction between mechanical and functional properties are summarized. The key to the development of Cu/Gr composites is suggested: (1) dispersion and interfacial bonding; (2) construction of three-dimensional graphene structures; (3) the effect of interfacial bonding on the mechanical and functional properties.