Abstract: Based on the nonlinear magneto-elastic kinetic equations and the electrodynamics equations of thin current-carrying plates, the nonlinear differential equations of normal Cauchy type, which includes ten basic unknown functions, are obtained by means of variable replacement method. Using the finite difference method and the quasi-linearization method, the nonlinear magneto-elastic equations are reduced to a series of quasi-linear differential equations, which can be solved by the method of discrete orthogonalization. Through a specific example, the numerical solutions of the stresses and deformations in thin current-carrying strip-plate with two edges fixed were obtained. The stresses and deformations of thin current-carrying strip-plate with the variation of the electromagnetic parameters are discussed. Through a special case, it is shown that the deformations of the plate can be controlled by changing the electromagnetic parameters.