The analysis of the sources of information describing the process of the formation of texture in hollow workpieces made of alpha-titanium alloys. To improve the radial texture in titanium alloys having HCP lattice, is proposed to use a method for obtaining flat article, folding it into a ring blank and its pressure processing by methods of forging or rolling with wall thinning. It is shown that in such an occurrence persists additional strain compression, reducing the effectiveness of the influence of strain effects on the metal to develop radial texture. The calculations of the real dimensions of work piece linear model depending on the parameter Kearns from deformation parameters. An alternative scheme manufacture hollow billets of alpha titanium alloys improves radial Kearns parameter.