Accurate modeling of material behavior is essential for realistic FEM simulations. This article presents advanced material models for the titanium alloys Ti-6Al-4V ELI and Ti-13Nb-13Zr. These models take into account temperature (20°C < T < 800°C), degree of deformation (0.5 < φ < 1.5), and strain rate (0.1 1/s < φ ̇ < 100 1/s). The models also consider the effects of strain hardening, strain rate sensitivity, and thermal softening, based on El-Magd's et al. constitutive material model. The models are validated by forge-like cylinder compression tests. They are intended for severe plastic deformation and forming processes of titanium alloys with high strains and strain rates at elevated temperatures.