Abstract: The thermal compression test of TC17 titanium alloy at different temperatures (600~950 ℃) and different strain rates (0.001~10 s^-1) was carried out, and the hot deformation behavior of TC17 titanium alloy was studied. The multiple linear regression constitutive model of TC17 titanium alloy was established and verified by experiments. The results show that the flow stress of TC17 titanium alloy decreased with the increase of deformation temperature, but increased with the increase of strain rate. At low temperatures (600~850 ℃), the true stress-true strain curve showed strain softening characteristics on the whole, while at high temperatures (850~950 ℃) showed steady flow characteristics, and the softening of flow stress at high temperatures was not obvious. The calculated value of the flow stress by the multiple linear regression constitutive model of TC17 titanium alloy was close to the experimental value, indicating the model had relatively high prediction accuracy.