A “hot-pluggable” hard disk drive is mounted in a removable hard disk drive tray. The hard disk drive tray has a vibration dampening system for reducing vibration between the hard disk drive, the hard disk drive tray, and a hard disk drive docking bay located within a computer system. The vibration dampening system has three primary components. The first component is a strip of polymeric material located between an end of the hard disk drive tray and the docking bay. The second component of the vibration dampening system is a set of polymeric strips located between an inner surface of the tray and the hard disk drive. The third component of the vibration dampening system is a set of spring assemblies. Each spring assembly is located between the sides of the tray and the docking bay.