In order to study the flow behavior of TA32 titanium alloy and set up the constitutive model at high temperature, this paper carries out a tensile experiment at temperatures in the range of 650℃-850℃ and at strain rates of 0.1-0.0001s_-1. The result indicated that the TA32 titanium alloy maintains a comprehensive performance at high temperature (about 650℃) . the behavior of tensile process at high temperature arises work hardening and dynamic recovery obviously at the range from 650℃ to 750℃ and low strain rate of 10_-1-10_-3s_-1 while the elongation of TA32 increases enormously and strength decreases clearly as temperature rises to 800℃ . At the mean time, the steady stage of stress occurs. The constitutive model of Arrhenius-type was constructed by using a specific correction method based on statistic and regularization. The comparison shows a more accurate flow predicted stress through modified model against to the conventional least squares model.