This paper is concerned with the study of propagation of Rayleigh waves in a homogeneous isotropic microstretch-thermoelastic solid half-space with microtemperatures in the context of theory of thermoelasticity. The medium is subjected to stress free, isothermal boundary. After developing a mathematical model, the dispersion curve in the form of polynomial equation is obtained. Phase velocity and attenuation coefficient of Rayleigh wave are computed numerically. The numerically simulated results are depicted graphically. Some special cases are also deduced from the present investigation.