The present paper is concerned with an electro-magneto-thermoelastic coupled problem for a homogeneous, isotropic, thermally and electrically conducting two-dimensional half-space solid whose surface is subjected to a thermal shock. The modified Ohm’s law, including the temperature gradient and charge density effect, to the equations of the theory of generalized electromagneto-thermo-elasticity under the coupled (CD), Lord-Shulman (LS), and Green-Lindsay (GL) model of generalized thermoelasticity, has been introduced. An initial magnetic field acts parallel to the plane boundary of the half-space. The normal mode analysis together with eigenvalue approach techniques are used to solve the resulting nondimensional coupled equations for the three theories. Numerical results for the temperature, displacements, thermal stress, and induced magnetic field distributions are presented graphically for three cases and discussed. © 2014, Springer Science+Business Media New York.