Abstract: A vibration damping apparatus has a first looped rope member and a second looped rope member each having a loop portion formed of a rope member in a loop shape, the rope member being formed by twining a plurality of linear members. Further, the vibration damping apparatus has a first base member and a second base member disposed in an up-and-down of the first looped rope member. The first looped rope member is fixed to the first base member and the second base member with the loop portion standing up. The second looped rope member is fixed to an intersecting portion, in one of the first base member and the second base member, intersecting a fixing portion of the first looped rope member with the loop portion standing up.