Exact information of the rotor resistance is the key to realize high-performance indirect field-oriented control of the induction motors. However, rotor resistance is time-varying when the motor works. Therefore, a new estimator of the rotor resistance is designed for the indirect field-oriented induction motors to attenuate the effect of the rotor resistance uncertainty. This estimator is derived from the steady-state procedure of the rotor flux using Lyapunov stability theory. Furthermore, this estimator is shown to be able to minimize the steady-state error the rotor flux and improve the control performance of the induction motor drive effectively. Compared with the previous studies, this estimator has a simple form and is easy to implement. Simulation results of a certain IFOC induction motor indicate that the estimator presented above is feasible.