Abstract: In order to accurately predict the hot working performance of GH4033 nickel-based high-temperature alloy under different strain variables, GH4033 alloy was subjected to thermal compression deformation tests with a strain variable of 1.2,the deformation temperature of 950-1200 ℃ and the strain rate of 0.01-10 s^-1by using Gleeble-3500 thermal simulation testing machine. A classical model was adopted to eliminate the effect of frictional resistance during the thermal compression process, and the stress reduction due to adiabatic temperature rise at high strain rate(10 s^-1) was removed by using extrapolation. Combining the Arrhenius hyperbolic sinusoidal equation and considering the effects of strain variables on the flow stress of GH4033 alloy, the improved constitutive model with coupled strain variables was constructed, and the correlation coefficient R, and the absolute mean error δ were used to quantify the accuracy and reliability of the model. The results show that the best polynomial fitting order between the material constants and the strain variables of the improved constitutive model is 9 th order, and the correlation coefficient R of the friction and temperature-corrected model with the rheological stresses of GH4033 alloy is 0.9958, and the absolute average error δ is 7.7218%. It is shown that the improved constitutive model based on the friction and temperature corrected model has good prediction ability for the rheological stress of GH4033 alloy under the given deformation conditions.