In this paper we present a simulation study of nanostructures with unit cells of periodic coupled cut-wire pairs for band-stop properties in the optical frequency range. A band-stop filter with a broader stop band for space transmission is realized by making use of plasmon hybridization. The bandwidth of the filter is tunable over a large range from 56.6 to 182.2 THz by magnetic and electric couplings between adjacent unit cells. An equivalent RLC resonant circuit is proposed to analyze the origin of the coupling effects. The bandwidth tunability by the coupling effect provides good guidance for a metamaterial design that works in broadband frequencies.