The isothermal tensile tests of high-strength steel DP590 were carried out at temperature ranges of 1123-1423 K and strain rates of 0.01-10 s-1. Then, the true stress-strain curves were plotted to analyze the effects of temperature and strain rate on the flow behavior of thermal deformation for high-strength steel DP590. The results show that the flow stress increases with decreasing of temperature and increasing of strain rate. Based on the isothermal tensile test data, the high temperature material constants are obtained through multiple linear regression analysis with the strain hardening coefficient n=3.194, thermal activation energy   Q=508.29 kJ·mol-1, α=0.0153 and A=2.126×1017 s-1. Therefore, the hyperbolic sine Arrhenius constitutive model for high-strength steel DP590 was established. Compared with the experimental results, the maximum error is 7.8%, and the minimum error is 0.18%. Based on the dynamic material model (DMM), the hot processing map of high-strength steel DP590 under the strain of 0.3 was constructed, and the suitable hot deformation range of high-strength steel DP590 is determined as the strain rates of 0.01-0.1 s-1 and the deformation temperate of 1250-1375 K.