An apparatus is disclosed especially configured and adapted for mooring a floating dock to a mooring pile. The apparatus minimizes damage to both dock and mooring piles caused by changes in tide, waves, wake and other water disturbances while, simultaneously, adding stability to the floating dock--especially in regarding to listing--. The apparatus is comprised of a cylindrical sleeve which is coaxially applied to a mooring pile, a dock mounted mooring bracket comprised of a base plate which connects to the sleeve mounted upon the pile via at least two "U" shaped arms which are disposed in a parallel, spaced-apart relation which engage selected and parallel circumferential grooves formed in the outer surface of the sleeve. The base plate, in turn, is affixed to a structurally sound portion of a dock such as a horizontally disposed plate. In further preferred embodiments, a buoyant base is affixed about the inferior terminus of the cylindrical sleeve to provide buoyancy thereto as well as buoyancy to the dock to which the apparatus is affixed.