In this study, the poro‐thermoelastic problem with the effect of the magnetic field and Seebeck parameter was investigated. Modified Ohm's law that includes effects of the temperature gradient (Seebeck effect) and charge density, as well as generalized Fourier's law with current density, is introduced. We applied normal mode analysis to solve the resulting nondimensional coupled equations and then investigated the effects that nondimensional displacements, temperature distribution, excess pore water pressure, stresses, and induced magnetic field exerted on the poro‐thermoelastic half‐space medium. Numerical analyses are given graphically on the square (2D) and cubic (3D) domains to illustrate the effects of the porosity parameter, magnetic field, and Seebeck parameter on the physical variables.