Hot compressive experiments of the laser solid formed (LSFed) TC4 titanium alloy were conducted at a wide temperature range of 650-950 ℃ and strain rate of 0.01-10 s-1.The Arrheniustype constitutive models of the LSFed TC4 alloy were established at the temperature range of 800-950 ℃ and of 650-800 ℃,respectively.The average relative error between the predicted stresses and experimental values in those two temperature ranges are 10.4％ and 8.3 ％,respectively,indicating that the prediction models constructed in this paper are in a good agreement with experimental data.Processing maps were established by the principle of dynamic materials modeling on the basis of the data achieved from the hot compression experiments.The processing parameters corresponding to the stable and unstable regions of material deformation can be determined from the processing maps.The microstructure evolution of the stable and unstable regions of the samples after tests were observed.Finally,the effect of hot compressive parameters on the microstructure were investigated to research the dynamic recrystallization and the texture of the deformed LSFed TC4 alloy.