This article presents the results concerning the control of rotor flux and speed of the induction motor using MBPC algorithm. A nonlinear state space model of induction motor is used to describe its dynamic. The rotor flux and speed are estimated using an extended Kalman filter. The load torque is considered as a disturbance and its value is calculated through the electromechanical equation. Simulated and experimental results have shown the good performance of this strategy.192155164Altuna, J.A.T., (2002) Análise dinâmica de controladores de corrente para máquinas de indução trifásicas alimentadas por inversor PWM, , Tese de doutorado, Universidade Estadual de Campinasde Santana, E.S., (2007) Algoritmo Preditivo Baseado no Modelo Aplicadao ao Controle de Velocidade do Motor de Indução, , Tese de doutorado, Universidade Estadual de CampinasHedjar, R., Tourne, R., Boucher, P., Dumur, D., End poit constraints nonlinear predictive control with integral action for induction motor (2004) Proceedings of the 2004 IEEE International Conference on Control Applications, 1, pp. 1691-1696Kennel, R. and Linder, A. (2005a). Direct model predictive control- a new direct predictive control strategy for electrical drives, Power Electronics and Applications, European Conference on p. 10ppKennel, R., Linder, A., Model predictive conmtrol for electrical drives (2005) Power Electronics Specialists Conference-PESC, pp. 1793-11799Kennel, R., Linder, A., Linke, M., Generalized predictive control (GPC)-ready for use in drive applications? (1997) Power Electronics Specialists Conference, 2001. PESC 2001 IEEE 32ndAnnual, 4, pp. 1839-1844Lorentz, R.D., Lipo, T.A., Novotný, D.W., Motion control with induction motors (1994) Proceeding of the IEEE- Special issue on power electronics and motion control, pp. 1215-1240Low, K.S., Chiun, K.Y., Ling, K.V., A dsp-based servo system using generalized predictive control (1997) Proceedings of the Power Conversion Conference, 1, pp. 507-512Moreira. V.D., P.A. Ferreira, W. A. (2004). Controle preditivo robusto de sistemas híbridos incertos, XV Congresso Brasileiro de Automática, Gramado, CD-ROMRossiter, J.A., (2003) Model Based Predictive Control - A Practical Approach, , CRC PressValdenebro, L.R., (2001) Observadores adaptativos de fluxo e velocidade para motores de indução - estudo e implementaç ão, , Tese de doutorado, Universidade Estadual de CampinasVas, P., (1998) Sensorless vector and direct torque control, , Oxford science publicationsZhang, L., Norman, R., Shepherd, W., Longrange predictive control of current regulated pwm for induction motor drives using the synchronous reference frame (1997) IEEE Transactions on control systems technology, 5 (1), pp. 119-125