A vibration-proof clamp includes a clamp body made of hard resin having a holding part and a stud engaging part, and a rubber member that covers the holding part. The holding part has a curved wall for holding an elongated element from below and at least one elastic holding member that extends slanting downward towards a holding space. The rubber member has a rubber curved part that covers the curved wall of the clamp body, and a rubber holding member that covers the elastic holding member. When the elongated element is attached, the elastic holding member can bend inside a holding member space. The rubber member has a rubber curved extension part that curves upward along the outside of the elongated element, and connects with the rubber curved part. This arrangement prevents the elongated element from being in direct contact with the clamp body.