A cover apparatus (1) for flooring seam gaps comprises a mounting profile (2) and a cover strip (3), with the mounting profile (2) which can be fastened to the base (U) by way of a bridge element (5) along the seam gaps (F) or the like comprising at least one leg element (6) which projects upwardly from the bridge element (5) and can be joined together in a clamping manner with the cover strip (3). In order to enable the perfect insertion of the cover apparatus even in the case of a curved progress of the seam gap, a cover strip (3) is provided which consists of a flectionally yielding material and can be bent about axes parallel to the direction of insertion, which cover strip is associated as a mounting profile (2) made of deflection-resistant material with a profile rail (4) which is subdivided by transversally extending indentations (8) into sections (9) which can be mutually swiveled about axes (A) which are parallel to the direction of insertion.