The three points analysis method was applied to determine the number of peaks and kinetic parameters. These are the order of kinetics b, the activation energy E (eV), the frequency factor S (s−1) or the pre-exponential factor S″ (s−1) and the relative value of the initial concentration of trapped electrons n0 (cm−3) associated with the thermoluminescence (TL) glow peaks in double potassium yttrium fluoride (K2YF5) doped with cerium ions (Ce3+) in response to β-irradiation. The three points analysis method indicated that the glow curve of this material is the superposition of five general-order components, which was referred to as P1–P5, in the temperature range between room temperature and 500 °C.