A periodic multilayer structure of metal and dielectric layer has been proposed and studied to gain a stop-band filter in the THz range. A broad stop-band has been realized through making use of polarization hybridization. The bandwidth of the stop-band filter can be tunable in a large range through electric-magnetic couplings in silver layers. The influences of the number of metal layer, the lattice constant and the permittivity of dielectric layer on the central frequency and stop-bandwidth have been studied. The central frequency would be blue-shifted and stop-bandwidth can be expanded through selecting these parameters appropriately. The bandwidth tunability which can be worked through the coupling effect provides good guidance for designing broad stop-band filter.