Excessive torsional vibrations in mechanical systems with rotating mechanical components result in noise, excessive stresses, or even fatigue failure if not suppressed or controlled properly. Accordingly, they should be suppressed or controlled immediately to ensure system's reliability. In this study, a hybrid torsional vibration damper is proposed incorporating a conventional centrifugal pendulum vibration absorber and a magnetorheological damper. While centrifugal pendulum vibration absorbers are simple and reliable than passive torsional vibration absorbers, their performance is limited to the designed tuning conditions. Magnetorheological dampers have recently received considerable attention due to their inherent fail-safe feature, low power requirement, and capability to attenuate vibration under unpredictable environmental conditions. This research aims at developing a novel hybrid torsional vibration damper combining conventional centrifugal pendulum vibration absorber with the magnetorheological rotary damper in which the centrifugal pendulum vibration absorber has been connected to the cylindrical housing of the magnetorheological damper. The analytical model of the rotor system integrated with proposed hybrid torsional damper has been developed. The superior performance of the proposed torsional damper has been then demonstrated by comparing the results with those of rotor system without any damper, rotor system with only centrifugal pendulum vibration absorber, and finally rotor system with only magnetorheological rotary damper.