A dock structure, dock assembly and dock constructing method use one or more dock elements that are attachable to vertical pilings. Each dock element is a pan-like structure having a first end and a second end, a opposing side walls and opposing end walls, with one end wall disposed at each end of the element, and a floor. The side walls, the end walls and the floor form a pan-like cavity. Two cylindrical rims are disposed at the first end of the dock element, each rim forming a vertically-disposed cylindrical opening in the floor of the element and each opening being functionally adapted to receive a piling through it. Each dock element is attachable to pilings and a pair of overlapping members formed at the second end of each dock element allows adjacent elements to be attached one to another. Following attachment, each dock element is filled with concrete.