The isothermal constant strain rate compression test of TA5 titanium alloy was carried out by Gleeble-3800 thermal simulator at temperature 850~1050℃, strain rate 0.001~10s_^-1 and maximum deformation of 60%. According to the experimental data, the flow stress curve of TA5 titanium alloy was analyzed, and the material parameters (deformation activation energy, Z parameter and power dissipation coefficient) were calculated under different process parameters. In addition, the prediction model of process parameters and material parameters was established by response surface method. Finally, the optimized process parameters were obtained by multi-objective visualization optimization. The results show that the flow stress of TA5 titanium alloy has negative temperature correlation and positive strain rate sensitivity. The prediction model based on the response surface methodology has high accuracy, and the optimized machining parameters range is (850~990℃/0.004~0.15s_^-1). The main deformation mechanisms of this region are dynamic recovery and dynamic recrystallization.