For the prediction of the hot flow behavior of materials, the constitutive models have developed in a form that feeds in computer code to simulate the response of workpiece under the process loading conditions. For this purpose, the hot compression tests were used at different ranges of temperature (623–773 K) and strain rate (0.005–0.5 s–1) for AA1070 aluminum. In this study constitutive equations based on the modified Johnson–Cook (JC) and modified Zerilli–Armstrong (ZA) models were established using the experimental data and were compared with an earlier study for the strain-compensated Arrhenius (strain-com Arr) model to predict the hot flow behavior of the pure aluminum. Then terms of the correlation coefficient (R), relative error (RE), and average absolute relative error (AARE) were used to evaluate the comparative predictability of these models. The R values for the modified J–C and modified Z–A are 0.9759 and 0.9760, respectively. Also, The AARE and mean RE values obtained for the modified J–C model are 9.085 and 1.6624% and for modified Z–A are 7.901 and 0.7840%, respectively.