Circuit quantum electrodynamics (cQED) has drawn considerable recent attention due to its potential to mediate entanglement between distant solid-state qubits.Meanwhile,graphene has also become a hot electronic material due to its unique physical properties and potential applications.Here we demonstrate for the first time a successful coupling between two distant graphene double quantum dots through a superconductor reflection-line resonator (RLR).The dephasing rate of graphene qubit is measured for the first time.Several hints to the four-fold filling feature of graphene quantum dot are also observed.The coupling strength of the resonator to the graphene quantum dot,made of a single atomic layer,is determined to be just as good as that for semiconductor and superconductor counterparts.