Growth steps and set-up for the pure and chlorine doped cadmium telluride single crystals preparation by a vertical configuration of sublimation travelling heater method without seeding are described. The structural, electrical and transport properties of as-grown material were investigated by different techniques: infrared transmission spectroscopy, double-crystal X-ray diffractometry, Hall effect, conductivity, photoelectric measurements and chemical etching. It was concluded that the most suitable material for fabrication of X-ray and γ-ray non-cooling detectors are single crystals doped with Cl in the range of N Cl = 1018 -10 19 cm -3 .