The present investigation deals with the propagation of waves in the layer of an anisotropic fibre reinforced thermoelastic solid. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitude of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for Cobalt material and the dispersion curves, amplitude of displacements and temperature distribution for symmetric and skew-symmetric wave modes to examine the effect of anisotropy. Some particular cases are also deduced.