In order to improve the transmission performance of optical devices and promote the development of micro-optical devices and large-scale integrated optical circuits, a new type of 2-D graphene plasma photonic crystal structure was proposed. By periodically arranging the honeycomb-shaped graphene discs, the diameter of two graphene discs in a period was adjusted to open the Dirac point; based on the finite element method, the propagation of the light field was simulated by COMSOL and the photonic band gap was then calculated. Through breaking the time inversion symmetry, the band topology effect was achieved. The results show that the lattice constants of this designed are all on the order of nanometers, which is nearly 30 times smaller than the free space wavelength with the advantages of miniaturization and high integration. The structure can be dynamically modulated in the 15.3THz~15.8THz frequency range. This research provides a reference for the design of robust nano-scale photonic devices, and is expected to be applied to waveguide frequency control, optical switches and other fields.