Accurate material constitutive model is considered highly necessary to perform finite element simulation and analysis. However, it is difficult to establish the material constitutive model because of uncertainty of mathematical relationship and constraint of existing experimental condition. At present, there exists considerable gap between finite element simulation result and actual cutting process. Particular emphases were put on investigating the correlation between "single factor" material constitutive model parameters and temperature for Ti6Al4V alloy, and also establishment of material constitutive model for this kind of material. Theoretical analyses based on dislocation theory and material functional relations showed that material model was deeply affected by variation temperature. By the least squares best fit to the available quasi-static and high-speed impact compression experiment data, material parameters at various temperatures were found. Experimental curves analyses and material parameters comparison showed that the "single factor" material constitutive model parameters were temperature dependent. Using the mathematical mapping between material parameters and temperature, "single factor" material constitutive model of Ti6Al4V alloy was established, which was proven to be right by comparing with experimental measurements. This work makes clear that the "single factor" material constitutive model parameters of Ti6Al4V alloy are temperature dependent. At the same time, an accurate material constitutive model is established, which helps to optimize cutting process and control machining distortion for Ti6Al4V alloy aerospace parts.