Features of processes of recrystallization in rolled single crystals and polycrystals of zirconium and alloy Zr-1% Nb have been analyzed. To estimate the crystallographic texture and structural state of the materials under study, diffractometric X-ray methods have been used. It has been found that the alpha-Zr matrix regions that were deformed with the preferential participation of twinning are characterized by a reduced tendency to recrystallization. Based on the established regularities of textural changes, recrystallization mechanisms operating in the deformed alpha-Zr matrix have been revealed. The orientation of recrystallized alpha-Zr grains corresponds to those that are represented by the slopes of deformation-texture maxima in which the level of the crystal-lattice distortion reaches a maximum, and nuclei of recrystallization arising in these regions can, in the process of their growth, be accompanied by a 30A degrees rotation of the matrix about its basal normal. It has been shown that this rotation of the deformed matrix under recrystallization annealing of samples only occurs in the case of predominant participation of prismatic slip in the process of deformation, as well as under fairly slow heating of samples and in the absence of additional components in the alpha-Zr texture.