Abstract: Various constitutive models of TiAl-based intermetallic alloys are introduced from macro and micro aspects in this paper. Firstly, the statuses about the Arrhenius models, Zener-Hollomon parameters and Z-A model used in describing the flow behaviors of TiAl-based intermetallic alloys at high temperatures or at high strain rates are reviewed Then, the micro-scale models developed in the basis of microstructure features and deformation mechanics as well as using the crystal plasticity theory and finite element method are presented.