The　purpose　of　this　paper　is　to　study　the　fluid-structure　interaction　(FSI)　problem　which　is　a　simplified　model　to　describe　high　frequency　and　small　displacement　oscillation　of　elastic　structure　in　fluids.　The　elastic　structure　displacement　is　modeled　by　a　fourth-order　nonlinear　hyperbolic　square　equations,　the　motion　of　fluid　is　modeled　by　the　time-dependent　incompressible　Navier-Stokes　equations.　We　prove　the　existence　of　at　least　one　weak　solution　(global　in　time)　to　this　problem　by　compactness　method.　The　result　both　holds　for　two-dimensional　and　three-dimensional　cases.