This paper reports on the theoretical modeling of the phonon thermal conductivity of hollow nanowires and core-and shell nanowires. Both the axial and the radial thermal conductivity of hollow nanowires have been analytically modeled by solving the Boltzmann transport equation. The radial thermal conductivity has been modeled using the ballistic-diffusive heat conduction equations. Results for both axial and radial thermal conductivity are in excellent agreement with the numerical solution of the Boltzmann transport equation