This study presents the design of a reconfigurable c-shaped dipole antenna for Wi-Fi and LTE bands. It consists of two nested c-shape resonators located inside each of the wings of the c-dipole patch antennas. The mentioned resonators have been used due to their inductive and capacitive effects. The reconfigurable property of the proposed antenna has been achieved with two graphene layers which are deposited on two gaps over the patch antennas.The graphene layers adjust the return loss of the proposed antenna into the desired band. These graphene layers are examined with different chemical potentials, so that the antenna return loss changes over the. The simulation results show that the gain of the antenna is higher than 5dB for both LTE and Wi-Fi applications.