Abstract: To address the drawbacks of high computational complexity, difficulty in adjusting weight coefficients and large torque oscillation in finite-control-set model predictive speed control (FCS-MPSC), we propose a current adaptive deadbeat predictive speed control (CA-DPSC). Based on deadbeat speed, deadbeat current and voltage positioning strategy, we rewrite FCS-MPSC as deadbeat predictive speed control (DPSC), which reduces the computational complexity while eliminating weight coefficients. We propose a current adaptive regulation strategy to restrain the torque oscillation in the transient response. We obtain a gradually changing current to suppress torque oscillation and improve the smoothness of the transient response by utilizing the observed load current and deadbeat current through an adaptive current regulation. The simulation results show that compared to DPSC, CA-DPSC not only has better steady-state performance, but also effectively suppresses torque oscillation in transient performance of speed response and load response.