Corner structure of a hollow chamber seal includes a filler piece which is situated in a corner area of the hollow chamber seal. Filler piece supports the hollow chamber seal, with deformation, and diverts supporting forces into a component on which the hollow chamber seal is situated. Corner structure reliably prevents deformation of the hollow chamber seal, even after extended use, is easy to manufacture, and is aesthetic. Filler piece has a base which is adjoined by a T-shaped head made of an elastomeric material, and the head of the filler piece when installed protrudes into the hollow chamber seal through a slit which is introduced into the hollow chamber seal, and is supported on a wall of the hollow chamber seal oppositely situated from the component, with deformation. Base is supported on the component and diverts the supporting forces on the head into the component.