Large impulsive tensions are exerted on a mooring chain when large waves attacks to a Catenary Anchor Leg Mooring buoy installed at a berthing area facing to an ocean.The sinker of the buoy may be moved and some of joints may be broken off by the large impulsive tension even if the maximum tension is smaller than the breaking load of the chain.The maximum tension is related to the wave energy expressed as the product of the square of wave height and the wave length.The impulsive tension can be reduced by employing an elastic'rubber chain'as a part of the buoy mooring chain