In this article, we propose a model of generalized thermo-viscoelastic plane waves for a half-space whose surface is subjected to a thermal shock under the effect of rotation with one relaxation time. The normal mode analysis is used to obtain the exact expressions for the considered variables. The resulting formulation is applied to two kinds of boundary conditions. Numerical results are given and illustrated graphically for each case considered. Comparisons are made with the results predicted by the coupled theory and with the theory of generalized thermo-elasticity with one relaxation time in the absence of rotation.