The present chapter summarizes the recent advances in bulk and foil copper-graphene (Cu-Gr) composites fabrication. Graphene introduction into copper results in significant Cu matrix reinforcement with no loss in material conductivity. The most effective techniques for copper matrix composites fabrication are discussed. The benefits and limitations of each technique are pointed out depending on the target application of the composite material. The experimental data on metal-graphene composites and theoretical predictions are critically reviewed. The emphasis is made on nanotwinned copper-graphene composite foils obtained by the electrochemical deposition as very promising reinforced materials. Mechanical properties and thermal and electrical conductivities of Cu-Gr composites are regarded with respect to their manufacturing method, type, and concentration of the graphene additive. The suggested mechanisms of conductivity and reinforcement in Cu-Gr composites are discussed.