The present investigation deals with the thermoelastic interaction in an unbounded fiber-reinforced anisotropic medium with a cylindrical cavity. The three-phase-lag (3PL) thermoelastic model and Green and Naghdi model (GNIII) are employed to study the thermophysical quantities. In the threephase-lag model, the equation of heat conduction a containing fourth order derivative with respect to time. The cavity surface is subjected to uniform step in temperature of its internal boundary, which is assumed to be traction free. The numerical results of temperature, displacement, redial stress and hoop stress are obtained with the help of the finite element procedure. The effects of reinforcement are studied and the comparisons of the results for different thermoelastic models are made.