In order to establish a constitutive equation which can reasonably describe the Ti/Ni/Ti laminated composites process, the hot deformation behavior of Ti/Ni/Ti laminated composite during the bonding process was studied on Gleeble-3500 thermo-mechanical simulator at the temperature of 550~850 °C, strain rate of 0.001~1 s^-1, and deformation of 65%. Four constitutive models, including modified Johnson-Cook (MJC) model, train compensated Arrhenius (SCA) model, multivariate nonlinear regression (DMNR) model, and modified Inoue Sin (MIS) model were used to predict the elevated temperature flow behavior of laminated composite. A comparative research on the experimental values and the predicted values of the four models was conducted. Besides, the accuracy of the average absolute relative error (AARE), correlation coefficient (R) and the relative error was compared to confirm the reasonability of these four models. Results show that the MJC, DMNR and MIS model are not suitable for the description of flow behavior of Ti/Ni/Ti laminated composites, while the predicted values of SCA model agree well with the experimental values except under some deformation conditions.