Advanced　composites　with　superior　wave　attenuation　or　vibration　isolation　capacity　are　in　high　demand　in　engineering　practice.　In　this　study,　we　develop　the　hybrid　dynamic　shear　-lag　model　with　Bloch＇s　theorem　to　investigate　the　hybrid　effect　of　reinforcement　on　wave　attenuation　in　bioinspired　staggered　composites.　We　present　for　the　first　time　the　relationship　between　macroscopic　wave　filtering　and　hybridization　of　building　blocks　in　staggered　composites.　Viscoelasticity　was　taken　into　account　for　both　reinforcement　and　matrix　to　reflect　the　damping　effect　on　wave　transmission.　Our　findings　indicate　that　reinforcement　hybridization　significantly　enhances　wave　attenuation　performance　through　two　critical　parameters:　the　linear　stiffness　and　linear　density　of　reinforcements.　For　purely　elastic　constituents,　reinforcement　hybridization　consistently　improves　wave　attenuation　by　reducing　the　initial　frequency　of　the　first　bandgap　and　broadening　it.　For　viscoelastic　constituents,　increasing　the　heterogeneity　of　reinforcements　can　benefit　wave　attenuation,　particularly　in　ultralow　frequency　regimes,　due　to　the　strengthening　of　the　damping　effect.　Our　case　study　demonstrates　that　controlling　the　difference　in　linear　density　can　result　in　up　to　a　59　%　reduction　in　energy　transmission.　Our　analysis　suggests　that　hybridizing　reinforcements　could　provide　a　new　approach　to　designing　and　synthesizing　advanced　composites　with　exceptional　wave　attenuation　performance.