A tunable electromagnetically induced transparency (EIT) structure based on graphene metamaterial is proposed in this paper.The structure is made up of the striphalf ring graphen e layers on the substrate.The characteristics of the structure are studied by the frequency domain method finite difference.The simu lation confirms that an EIT-like transparency window can be observed due to frequency detuning and the weak hybridization of t he strip and the half ring graphene layers.More importantly,the peak frequency of the transmission window can be dynamically controlled over a b road frequency range by varying the Fermi energy levels of the graphene layer through controlling the electrostatic gating.Corre spondingly,by adjusting the Fermi energy of the graphene,a group delay of 0.4ps is obtained in the vicinity of the transparency peaks.The effect of the distance between the strip and the ring,the radius of the ring and the azimuth angle on the EIT effect are als o studied.The changes of these factors have different impacts on the EIT.The metamaterial structure designed in this pape r can be applied in modulators and slow light devices,and has important guiding significance for the design of new devices,such as optical swi tching and optical storage.