The constitutive model of TA32 titanium alloy was established, and different drawbeads were added on the die to eliminate the wrinkles. The Barlat 89 and Hill 48 yield criterions were used to compare the prediction accuracy of the finite element simulations. The saddle shape part of TA32 titanium alloy was hot-stamped, and the thickness distribution was measured and compared with the simulation results. Results show that the wrinkles can be effectively eliminated by adding the drawbeads along X-axis and Y-axis. The saddle shape part can be precisely formed without defects. The finite element model with Barlat 89 yield criterion has better prediction accuracy than that with Hill 48 yield criterion does, indicating that the finite element simulation has good theoretical prediction significance. The mechanical properties and microstructure of the hot-stamped part were investigated and it is found that they all meet the practical engineering requirements.