Abstract: Based on the Lord and Shulman generalized thermo-elastic theory with one relaxation time, the dynamic thermal and elastic responses of an isotropic rod fixed at both ends and subjected to a moving heat source are investigated. The generalized thermoelastic coupled governing equations for the rod are formulated. By means of Laplace transformation and numerical Laplace inversion, the governing equations are solved. The numerical calculation for the stress, displacement and temperature within the rod is carried out and displayed graphically. The effect of moving heat source speed on the temperature, stress and temperature is studied. It is found from the distributions that the temperature, thermally induced displacement and stress of the rod are found to decrease at large source speed.