A Plasmon-Induced Transparency (PIT) metamaterial was proposed comprised of a graphene patch and two pairs of split ring resonators (SRRs) symmetrically. The coupled PIT molecule is termed as dark-bright-dark molecule. By using the finite element method simulation, the PIT metamaterial exhibits double sharp-induced transparency peaks was observed. the PIT windows can be dynamically modulated at the terahertz regime by tuning the Fermi energy in graphene and varying the geometric parameters of the metamaterial. Theoretical calculations show thatthe interaction distance between graphene and two pairs of symmetrically SRRs is 0.5 microns and the graphene Fermi level is 1.5 eV, the optimal double transparent window is obtained.The PIT effects may have some potential applications in nonlinear devices, tunable sensors, switches, and slow light devices.