Aiming at the limitations of the discrete model of the induction motor using first-order Euler with full speed range, the model was unstable in high speed regional, an model based on different reference frame was studied. The model was based on the rotor equation in the rotor reference frame and the stator equation in the stationary reference frame, and use the stator flux and the rotor flux as the state variable to design the discrete matrix to realize the estimation of flux. The stability of the hybird discrete model can be proved by the stability theory of discrete domain. The root locus plot of the discrete model was in the stable region to achieve stability within the whole-speed range. The model was verified by MATLAB.