Measurements of the angular distribution of annihilation photons (ADAP) are often applied to investigate the behavior of point defects unannealed, plastically deformed, and irradiated titanium alloys. It is shown that irradiation by α-particles is accompanied by the formation of the vacancy clusters in titanium alloys. The combined action of radiation damagesvacancy, vacancy complex and a new phase precipitates -are appearing under high energy α-particles irradiation and this becomes the reason of being abnormally large and irregular by component concentration values of observed annihilation parameters of investigating titanium alloys. This is testified by the different degree of their damaging ability.