This article presents a novel application of the random hysteresis current control (RHCC) technique on a permanent magnet synchronous motor (PMSM) drive to reduce acoustic noise and vibration (ANV). The proposed RHCC approach brings a significant reduction in torque ripples and ANV in the motor, thereby enhancing the performance of the complete drive system under operation. Among various available spread-spectrum techniques, RHCC has recently applied to unipolar and bipolar pulsewidth modulation (PWM)-fed power electronics converters to reduce harmonics in voltage and currents, with promising results. Furthermore, in-depth theoretical background and analysis of the performance of RHCC in reducing the torque ripples, vibration, and acoustic noise of a PMSM drive are presented. Appropriate simulation as well as experimental analysis have been carried out. The results show a substantial reduction of ANV in a PMSM drive through the proposed RHCC technique. The performance of the proposed method is compared with pseudorandom triangular PWM, hysteresis current control (HCC), and sinusoidal PWM (SPWM) techniques.