The thermal quenching of luminescence efficiency is an effect which is present in many thermoluminescent (TL) materials. It causes a significant decrease of the luminescence signal and disturbs the shape of the glow-peaks. Therefore, in principle, the thermoluminescence kinetics theory cannot describe TL glow-peaks influenced by thermal quenching. In the present work a detailed simulation of the influence of the thermal quenching effect on thermoluminescence glow-peaks is presented. Specifically we study the shift of the quenched glow-peak with heating rate and the effect on the various heating rate methods, the influence on the symmetry factor and the kinetic order of the glow-peak, and the effect of thermal quenching on the initial rise and peak shape methods for evaluating kinetic parameters. Furthermore, the evaluation of the thermal quenching parameters using the quenched glowpeak and the possibility of using the conventional expression describing a single glow-peak to fit the quenched glow peaks are also investigated.