The isothermal constant strain rate compression test of the Laves phase NbCr2/Nb dual-phase alloy prepared by mechanical alloying and hot pressing was carried out on a Gleeble-3500 thermal simulation tester. The flow stress behavior of the alloy was investigated in the temperature range of 800 similar to 1200 degrees C and the strain rate range of 0.001 similar to 0.11 s(-1) and the constitutive relations based on the hyperbolic sinusoidal function Arrhenius equation and, the stepwise regression method were established. The results show that the ductile to brittle transition temperature (DBTT) of Laves NbCr2/Nb dual-phase alloy is 950 similar to 1000 degrees C. The alloy breaks into pieces directly without yield below 950 degrees C. While, it shows a good plastic deformation ability above 1000 degrees C. The flow stress of the alloy decreases with the increase of deformation temperature and the decrease of strain rate. It is characterized by steady-state flow under the deformation conditions of 1050 similar to 1200 degrees C/0.001 s(-1) and 1150 similar to 1200 degrees C/0.01 s(-1). While, it shows the flow softening under the deformation conditions of 1000 degrees C/0.001 s(-1), 1000 similar to 1100 degrees C/0.01 s(-1) and 1000 similar to 1200 degrees C/0.1 s(-1). The AARE of the peak flow stress constitutive relation and the strain-compensated constitutive relation, which are established based on hyperbolic sinusoidal function Arrhenius equation, is 9.89% and 13.859%, respectively. The AARE of the constitutive relation under all experimental conditions, the steady-state flow stress curve constitutive relation and the softening flow stress curve constitutive relation, which are established based on stepwise regression method, is 8.63%, 5.28% and 6.83%, respectively. The established constitutive relation can provide theoretical guidance and basic data for forging process design, forging equipment tonnage selection and forging process finite element numerical simulation of the Laves phase NbCr2/Nb dual-phase alloy.