A new finite element modeling method based on fluid-solid coupling was proposedIn order to to solveresolve the modeling and solvingution problems of sessile dropletsimulate modal analysis， a new finite element modeling method based on fluid-solid coupling is proposed.Using the method of fluid-solid coupling separation modeling, the surface tension of the fluid iwas equivalent to a film structure. Then the finite element simulation model of the sessile droplet iwas set upbuilt， , simulating the actual working condition and giving the known structural constraint and coupling constraint.The theoretical value and simulation value of natural frequency， ,characteristic array and maximum change of mass center awere analyzed and compared.It is shown The results show that the simulation natural frequency of the 2-5 order solid droplet is in accordance withlarger than the calculated results of by Rayleigh's theory，, which is in consistent with proved byresults in existing literature. The 2-54 order vibration spectrum of the solid droplet obtained by the finite element simulation is consistent with the vibration spectrum of the Chun-Ti Chang experiment in literature，.and tThe maximum displacement of the center of mass obtained by the droplet simulation is less than 15% of the theoretical calculatcalculatioedn value.