A predictive torque and flux control method for an induction machine fed by an indirect matrix converter is presented in this paper. Simple discrete models of the induction machine and the converter are used to predict the behavior of torque and flux. The control scheme selects the switching state that minimizes the error in the torque and flux predictions according to their reference values. The control objectives are accomplished by using a prediction horizon of one sample time and a very intuitive control law. The proposed control scheme considers the discrete nature of control processors and power converters, presenting a special approach to realize control. The method is validated trough simulation results where it is shown that the predictive approach can be implemented simply with a good tracking of the torque and flux to their respective references. ©2010 IEEE.