The methods of orientation microscopy, x-ray phase analysis and microindentation are used to study the effect of annealing at 680°C on the structure, texture, and physical and mechanical properties of a hot-pressed tube from titanium α-alloy PT-1M. It is shown that annealing of the hot-pressed tube from alloy PT-1M in the α-range causes secondary crystallization and grain growth, which are accompanied by lowering of the hardness over cross section of the annealed tube from its external surface to the internal one. Annealing also produces reorientation of the main texture components of the tangential prism formed under the hot pressing. The presence of such texture components in the hot-pressed and annealed tube results in anisotropy of the hardness and of the elastic modulus in longitudinal and transverse sections of the tube.