Based on the previous studies, the numerical model of oscillating bubble coupling with elastic membrane is built under the consideration of buoyancy, surface tension and different fluid density ratios. Provided that the fluid around bubble is incompressible the boundary element method is adopted to solve this model and the numerical results coincide well with the Turangan’s experimental results. Through the numerical simulation of the oscillating bubble near elastic membrane, the characteristics of bubble are discussed in fluids of the same density or different densityies separated by the elastic membrane, together with the jet features under the combination of elastic membrane and buoyancy. All these work is to present references to the research on dynamic behavior of bubble near elastic membrane.