The three points analysis method, proposed by Rasheedy, was applied to separate a complex thermoluminescence (TL) glow curve into its individual components and determine, for each component, the kinetic parameters. These are the order of kinetics b, the activation energy E (eV), and the pre-exponential factor S'' (s^-1) associated with the TL glow peaks in sintered pure Al2O3 pills in response to gamma irradiation. The three points analysis method indicated that the glow curve of this material is the superposition of three general-order components, in which the recombination processes predominate over retrapping processes.