In this article, a tunable tera Hertz (THz) filter made of graphene layers and PVC substrate has been proposed. By using static magnetic field, a new way is suggested in this filter that is suitable for tunning resonance frequency. Due to existence of magnetic field and gyromagnetic materials like graphene, the proposed configuration shows both TE and TM polarization in the structure output. In addition to this, about 5 THz bandwidth for tunability is achieved, which is so high compared with other works. All results have been obtained by numerical simulations through MATLAB software based on transfer matrix method (TMM) and validated by COMSOL software. With nearly zero transmission, this perfect tunable THz filter can pave the way for various applications including THz spectrometry.