A vibration damping device capable of reducing a change in an order frequency of a reciprocating motion of a pendulum resulting from eccentricity of rotational members therein. The vibration damping device comprises a pendulum damping mechanism having a mass to dampen the torsional vibrations by an oscillating motion thereof resulting from the torsional vibrations. An inertial body is arranged in the prime mover side of the rotary shaft, an elastic damping mechanism is connected with a transmission side of the inertial body in a power transmittable manner, a pendulum damping mechanism is connected with the transmission side of the elastic damping mechanism in a power transmittable manner, and a torque limiter mechanism is connected with the transmission side of the pendulum damping mechanism in a power transmittable manner.