Using nonlinear heat transfer theory and following Kazakov and Nagaev, a simple expression for the lattice thermal conductivity has been derived for an insulator having resonance-producing impurities. The expression obtained has been used to analyse the lattice thermal conductivity of pure and doped samples of NaBr in the entire temperature range 0.05-5 K. Good agreement has been found between the calculated and experimental values of phonon conductivity at low temperatures.