A single-sidedly or double-sidedly pressure-sensitively adhesive, elastic adhesive sheet comprising at least one layer of a pressure-sensitive adhesive, and having a maximum stretchability of more than 200% and a recovery of more than 60% after stretching to 2/3 of its maximum elongation, said pressure-sensitive adhesive (PSA) being based on a chemically crosslinked polyurethane, wherein the starting materials for the chemically crosslinked polyurethane include at least one isocyanate-reactive substance having a functionality of more than 2.0, in an amount of at least 5% by weight, based on the weight of the polyurethane composition, where the molecular weight of at least one of the starting materials used to form the polyurethane is being greater than or equal to 1000, at least one difunctional polyisocyanates are being used to form the polyurethane, and the ratio of maximum tensile stress to stripping stress is of said elastic adhesive sheet being more than 1.2, and the tensile stress at an elongation of 200% is being not more than 2.0 N/mm.sup.2.