In this article, we propose a tunable terahertz (THz) filter composed of graphene layers and a PVC substrate. A novel approach utilizing a static magnetic field is introduced to tune the resonance frequency. The presence of a magnetic field and gyromagnetic materials like graphene enables the proposed configuration to exhibit both TE and TM polarizations in the output structure. Additionally, a remarkable tunability of about 5 THz bandwidth is achieved, a considerably high value compared to existing works. All results are obtained through numerical simulations using MATLAB software based on the transfer matrix method (TMM), and the accuracy is verified using COMSOL software. With nearly zero transmission, this exceptionally tunable THz filter holds great potential for various applications, including THz spectrometry.