Abstract Deadbeat predictive current control (DPCC) has been widely studied in induction motor drives due to its simple concept, quick response and excellent steady‐state performance. However, conventional DPCC uses a lot of motor parameters to predict current and voltage. Therefore, the performance of DPCC is affected by the accuracy of motor parameters in the controller. The performance of DPCC will severely deteriorate when the motor parameters used in the controller deviate greatly from their actual values. To improve the parameter robustness of DPCC, this paper proposes a robust DPCC (RDPCC), which utilizes the error between the measured currents and predicted currents to compensate for the influence of machine parameter mismatches. The proposed method is compared with the conventional DPCC, and the experimental results confirm its strong robustness against motor parameter mismatch.