In the permanent magnet synchronous motor (PMSM) drive system, the system current inner loop controller based on the finite control set model predictive current control (FCS-MPCC) algorithm is affected by the variation of motor parameters. The prediction model of PMSM is derived. The cost function is reconstructed with the voltage vector as the constraint, and the current ripple problem caused by the digital delay is compensated. A robust FCS-MPCC algorithm is proposed, which reduces the sensitivity of the algorithm to the parameters by introducing weight coefficients and quantitative adjustments in the prediction model. The simulation results show that the proposed algorithm is effective and can make the system have good dynamic performance and steady state accuracy.