The theory of generalized thermoelasticity, based on the theory of Lord and Shulman with one relaxation time, is used to study the electromagneto-thermoelastic interactions in a semi-infinite perfectly conducting solid subjected to a thermal shock on its surface when the solid and its adjoining vacuum is subjected to a uniform axial magnetic field. The solid deforms because of thermal shock, and due to the application of the magnetic field, there result an induced magnetic and an induced electric field in the solid. The Maxwell s equations are formulated and the generalized electromagneto-thermoelastic coupled governing equations are established. Based on these governing equations, the generalized electromagnetothermoelastic coupled finite element equations are first formulated in this paper. By means of the Laplace transform and numerical Laplace inversion the problem is solved. The distributions of the considered physical variables are represented graphically. From the distributions, it can be found the electromagneticthermoelastic coupled effects and the wave type heat propagation in the medium. This indicates that the generalized heat conduction mechanism is completely different from the classic Fourier s in essence.