This paper presents a solution for vibration suppression in hub motor drive vehi-cle (HMDV). Initially, a quarter-car model is established with two excitation sources, including random road surface inputs and the unbalanced radial force from a Switched Reluctance Motor (SRM). Next, a conventional ISD (Inerter-Spring-Damper) suspension system is proposed as a replacement for the traditional suspension system. Following this, the ISD suspension system is further developed into a semi-active ISD suspension system to enhance vibration isolation performance. To achieve this, Skyhook and Groundhook control strategies are applied to fine-tune the damping coefficient of the semi-active ISD suspension system. Finally, all parameters of both the conventional ISD and semi-active ISD suspension systems are optimized using the Particle Swarm Optimization (PSO) algorithm. The weighted root-mean-square (RMS) responses of body acceleration (BA), suspension working space (SWS), and dynamic tire load (TDL) are selected as objective functions to assess vibration isolation performance. The results demonstrate that the semi-active ISD suspension system provides significantly better vibration isolation compared to the traditional suspension system.