In order to solve the problem that current control of the permanent magnet synchronous motor (PMSM)is easily affected by factors such as system delay and parameter mismatch, which leads to the decrease of current tracking performance. Thus, an adaptive deadbeat current predictive control algorithm with delay compensation is proposed. Based on the traditional deadbeat predictive current control (DPCC), aiming at the problem of current performance degradation caused by parameter mismatch, the model adaptive compensation method based on affine projection algorithm is improved, and an adaptive current control algorithm with delay compensation is designed. Finally, the simulated experiments are carried out to verify the designed adaptive deadbeat current predictive control with delay compensation has adaptive compensation ability for system parameter mismatch, which can effectively eliminate the influence of system delay and improve the current loop tracking performance.