The　reduction　of　low-frequency　vibration　and　noise　has　been　a　challenging　task.　A　design　of　locally　resonant　metamaterial　plate　is　proposed　to　overcome　the　difficulty　of　the　low-frequency　vibration　reduction.　The　low-frequency　vibration　characteristics　of　the　proposed　structure　are　investigated　numerically　by　the　finite　element　method.　The　formation　mechanism　and　influencing　factors　of　the　band　gap　in　low-frequency　vibration　are　analyzed,　and　the　structure　is　optimized　on　this　basis.　It　is　found　that　the　interaction　between　the　local　resonances　and　the　traveling　wave　modes　in　the　plate　results　in　the　formation　of　the　locally　resonant　band　gap,　whose　bandwidth　depends　on　interaction　strength　and　can　be　modulated　by　changing　structural　material　parameters.　The　optimized　structure　can　open　lower　and　multiple　band　gaps　and　improve　the　attenuation　performance　of　vibration　wave.　The　results　show　that,　the　structure　can　open　two　complete　range　of　vibration　reduction　with　the　width　of　13Hz　and　27　Hz　in　the　frequency　range　below　250　Hz,　and　the　starting　frequency　is　as　low　as　180　Hz.　The　finite　model　with　the　number　of　36　resonators　has　obvious　effect　to　reduce　vibration　in　the　bandgap.　The　structure　has　potential　application　prospects.　©　2021　IEEE.