<p>A transient wave analysis of a homogeneous, isotropic nonlocal thermoelastic semi-infinite continuum in axisymmetric domain subjected to a mechanical point load and a thermal point heat source within the framework of the Moore-Gibson-Thompson model have been presented along the z–direction. The governing equations are transformed into ordinary differential equations using the Hankel transform and time harmonic vibration technique. A matrix elimination approach is employed to determine the unknown field functions. The inverse Hankel transform is implemented using Romberg integration with an adaptive stepwise scheme, incorporating an extended Simpson’s one-third rule as the step size approaches zero. After inverting the integral transforms, a numerical solution is obtained via the Gauss elimination method in the physical domain. Computational results for temperature variations, displacements and stresses are derived from the analytical expressions and illustrated graphically with respect to radial distance and the non-locality parameter. The findings of this study have potential applications in structural engineering, particularly in the design of bridges and beams subjected to point loads.</p>