The present paper deals with the of Rayleigh surface waves in fiber-reinforced solid anisotropic magneto-thermo-viscoelastic media, a pre-stressed elastic layer of finite thickness over a homogeneous, pre-stressed elastic half – space subjected to the rotation. The dispersion equation in closed form is derived for a layer over a half-space, when both media are considered as pre-stressed and the effect of rotation shown in earlier investigators, is in general not applicable to the case of pre-stressed media. In order to illustrate the analytical developments, Numerical simulated results are depicted graphically to show the effect of rotation and magnetic field on resulting quantities. Comparison was made with the results obtained in the presence and absence of the rotation and magnetic field. The study shows that there is a variation effect of magneto-thermoelasticity and rotation on the Rayleigh wave velocity. Some special cases are also deduced from the present investigation.