Based on the tensor theory, the multi-dimensional based function of the moment domain is established. The two-dimension distributed load can be expressed as the series of the multi-dimensional based function and the coefficients are to be identified. According to the motion equation of the thin plate, an identification model is established. The response of the plate is employed to identify the coefficients. Furthermore, in order to improve the applicability, the finite element model of the two-dimension distributed load identification is established. It can be applied on complex structure. Simulations demonstrate that the method can identify the two-dimension distributed load and possess anti-interfered capacity and the well identifying precision.