Objective: This study investigates the infuence of the Thomson efect on the behavior of a difusive magneto-thermoelastic medium with initial stress and the dual-phase-lag (DPL) model. Methods: The normal mode analysis is utilized for solving the problem. The copper material was chosen for numerical assessments. The results are presented graphically for various physical quantities. Results: A comparison is made between the DPL model and the Lord and Shulman (L-S) theory, both in the absence and presence of the Thomson efect parameter as well as at two diferent values for the phase lag of heat fux. Conclusions: The fndings provide insights into the impact of the Thomson efect on the behavior of the magneto thermoelastic medium, highlighting the diferences between the DPL model and the L-S theory in diferent scenarios. This type of work has many applications in rock mechanics, geophysics, and petroleum industries. This work may be helpful for those researchers who are working in material science, smart materials, and new material designers