The effect of long term laboratory aging on rheological properties and cracking resistance of graphene rubber composite modified asphalt was investigate. Graphene rubber composite modified asphalt and SBS modified asphalt, SBS crumb rubber compound modified asphalt were subjected to thin film oven test(TFOT) and 20, 40, 60h pressure aging vessel(PAV) test. Dynamic shear rheometer(DSR) frequency scanning and Fourier infrared spectroscopic(FTIR）tests were carried out on asphalts with different aging time. The results indicate that graphene can effectively reduce the growth rate of normalized carbonyl index(NCI) and normalized sulfoxide index（NSI） of graphene rubber composite modified asphalt with the aging time. Graphene decreases the increase of phase angle of graphene rubber composite modified asphalt in low frequency,which shows that the viscosity of low frequency decreases after long term aging. Graphene decreases the increase of Glover Rowe(G R）parameter during 20h to 40h thermal oxidative aging, and effectively increases the crack resistance of asphalt at medium temperature.