High-temperature tensile test at a deformation temperature of 895-935℃ and a strain rate of 8.3×10_-4-1.32×10_-2 s_-1 is conducted for TA32 high-temperature titanium alloy developed independently by our country, and electron back-scattered diffraction (EBSD) technique is used to characterize grain morphology, orientation, and grain distribution. The results show that TA32 alloy provides superior superplastic deformation capability, with a maximum fracture elongation up to 1141.8%. In high temperature and low strain rate conditions, growth of grains tends to result in the rise of true stress in late deformation stages. Both the true stress and fracture elongation are sensitive to deformation temperature, deformation degree, and strain rate. Dynamic recrystallization is more likely to occur in high temperature or low strain rate conditions. The degree of dynamic recrystallization increases with the increasing deformation temperature, the decrease of strain rate, or the increase of deformation degree. After deformation, the textures nearly exhibit random orientations, and the original grains get equiaxed with better dimensional uniformity. During the process of deformation, discontinuous dynamic recrystallization serves as the dominant dynamic recrystallization mechanism. With the increase of deformation temperature, decrease of strain rate, or increase of deformation degree, discontinuous dynamic recrystallization plays a more important role, while continuous dynamic recrystallization weakens.