Abstract: Based on transform of coordinate and principle of superposition, a generalized Duhamel′s integral formula dealing with moving load problem is established. An impulse response function used in the generalized Duhamel′s integral is obtained by means of Laplace and Hankel transform. The analytic solution of the moving load problem of plate is evaluated by converting variables. The steady response with v=0 (v represents velocity of the moving load) is simplified to static solution. In particular, equation of plate is solved directly by three-dimension Fourier transform. The solution indicates that the above deduction is correct.