A new thermoluminescence (TL) general order glow curve fit function in terms of the intensity of peak maximum, Im and the peak temperature, Tm is presented in which thermal quenching (TQ) effect has been taken into account. Also, the conventional general order model and the new presented function were fitted to the glow peak 5 of LiF:Mg,Ti (TLD-100) and the kinetic parameters were obtained for different heating rates as the results of fitting procedure. It was found that increasing the heating rate, which makes the TQ more prominent, causes more divergence between the kinetic parameters extracted by applying two models. Considering that the TL intensity and the glow peak area reduce with shifting the glow peak to higher temperatures as a result of TQ, the new presented function gives more reliable results for the kinetic parameters.