The study considers a homogeneous isotropic thermo-visco-elastic solid with hyperbolic two-temperature to cope up with its two-dimensional (2D) deformations. The heat conduction equation is in°uenced by the Thomson coe±cient. Lord-Shulman's the- ory is used to modify the basic governing equations. A method called \normal mode analysis" is utilized to attain the magnetic ¯eld, stress, conductive and thermodynamic temperature, and displacement components. Also, a number of numerical calculations are performed and discussed to understand the impact of hyperbolic two-temperatures, Thomson parameter, and viscosity on the material mentioned above