A covering structure in the form of a stainless steel tree, possessing features for protection against rain, stands upon a box-shaped base embedded in a reinforced concrete buried plinth and includes piping for drainage purposes. The trunk is formed of pipes that penetrate the inside of the base, held in place by superimposed disc-shaped plates. The lower part of the trunk, bare of branches, is joined to the upper part by a flange. The pipes in the trunk form ramifications starting from respective elbows and flanges that support the branch tubes of varying lengths, symmetrically grouped around the trunk at different heights. At the top of each branch an elbow and a flange support a leaf, consisting of a funnel-shaped receptacle designed to catch rainwater and drain it into the branch below. A central leaf communicates direct with the trunk. Groups of leaves, partially extending over groups below them, completely cover the area projected on the ground underneath. Branches and trunk are joined by steel wires forming a stretched flexible structure.