Graphene reinforced copper matrix composites with mass fractions of 0%(pure copper), 0.4%, 0.8% and 1.2% were prepared via powder metallurgy, and the microstructures and properties of the graphene-reinforced copper matrix composites were investigated and analysed via optical microscopy, high-resolution field scanning electron microscopy, a high-precision densitometer digital conductivity meter and a universal testing machine. The results show that the copper powder is pure and free of impurities. With increasing graphene content, the porosity of the composites increases, and the agglomeration phenomenon of graphene is gradually aggravated. The grain size decreases and then increases, reaching the smallest value of 43.385 nm with a graphene content of 0.8%. For the physical properties of the composites, the graphene reinforced copper matrix composites exhibits decreasing trends in both density and conductivity. With increasing graphene content, the yield strength and maximum compressive strength of the composites first increase and then decrease, while the compression ratio gradually decreases. The yield strength and the maximum compressive strength reach maximum values of 80.79 and 332.88 MPa, respectively, when the graphene content is 0.8%.