The determination of dynamic load distribution on a Kirchhoff plate by FEM is studied,which is an inverse problem. To determine the load distribution,we select strain values on the surface of the plate as additional information.Numerical Laplace transformation and inversion are employed to study dynamic behavior of the problem.The linear controlling system,derived from strain-deformation relation in Kirchhoff plate theory,is ill-conditioned.Tikhonov regularization and L-curve method are employed.Numerical examples indicate that the inverse strategy is efficient.