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Vibration is the periodic motion due to elastic property of body. Anything has mass and elasticity can vibrate but a rigid body cannot vibrate. Oscillation is also periodic motion as restoring force is due to weight of the body. Even rigid body can oscillate. A wide range of applications found in IC engines, Jet engines, Electro-mechanical drives, reciprocating compressors, etc. Excessive vibration causes sudden structural failure which leads to catastrophe or major accidents. Hence, it is necessary to evaluate natural frequency of vibration to avoid failure of the system due to resonance. The present study aims to determine the natural frequency of torsional oscillation experimentally in un-damped and damped condition. The materials used in the present study are Steel and Brass. For each of the material, the time required for 20 oscillations were noted with and without damper. The steel found better torsional characteristics than brass in un-damped condition as steel has better elastic properties. The effect of mass moment of inertia, length and diameter of the rod on torsional oscillations were studied. Moreover, the damping characteristics of oil was studied and found that higher the damping factor if the amplitude reduction factor is high. [ABSTRACT FROM AUTHOR]