The traditional three-layered metal-dielectric-metal Fabry-Perot filter is developed as a new metal-dielectric multilayered band-pass filter. Our design method allows metal and dielectric films to be alternatively arranged to achieve a narrow and high transmission peak and the peak height remains unchanged for any number of metal films arranged in the multilayer. Furthermore, the equivalent refractive index of a subwavelength metal-dielectric multilayer could be negative real at the passband of the filter and such metamaterial exhibits stronger figure of merit than a previous result. By choosing a material with high refractive index as the dielectric film, such metamaterial exhibits a pass band that depends weakly on the angle of incidence.