Vacuum holding device for attaching objects to an essentially gas-tight contact surface, comprising: - a holding body that forms a vacuum chamber, wherein a vacuum is producible in the vacuum chamber following application to the contact surface, and the holding body comprises a press-on web (11 b) with a web front edge encircling the vacuum chamber, wherein the web front edge is oriented towards the contact surface, - at least one seal, that seals the vacuum chamber towards the exterior in a gas-tight manner against the contact surface. - at least one opening as the end of a connection between the vacuum chamber and the external environment having at least one valve that ensures gas-tight opening and closing of the connection between the vacuum chamber and the external environment, wherein - the holding body with the press-on web (11 b), during formation of a vacuum in the vacuum chamber, presses on the contact surface by means of the seal provided towards the contact surface, - the seal comprises one or several U-profiles, wherein two limbs and a foot surface linking the limbs form an U-profile and the limbs at least partially bilaterally encompass the respective press-on web of the holding body and the foot surface spans the respective web front edge of the press-on web, wherein the web front edge has a sealing effect on the foot surface of the seal under a vacuum in the direction of the contact surface, and - the holding body, in addition to the press-on web (11 b) comprises a downwards projecting peripheral web (11 c), the peripheral web encircles the press-on web and a groove is formed between the press-on web (11 b) and the peripheral web, in which a limb of the seal engages. - a holding body that forms a vacuum chamber, wherein a vacuum is producible in the vacuum chamber following application to the contact surface, and the holding body comprises a press-on web (11 b) with a web front edge encircling the vacuum chamber, wherein the web front edge is oriented towards the contact surface, - at least one seal, that seals the vacuum chamber towards the exterior in a gas-tight manner against the contact surface. - at least one opening as the end of a connection between the vacuum chamber and the external environment having at least one valve that ensures gas-tight opening and closing of the connection between the vacuum chamber and the external environment, - the holding body with the press-on web (11 b), during formation of a vacuum in the vacuum chamber, presses on the contact surface by means of the seal provided towards the contact surface, - the seal comprises one or several U-profiles, wherein two limbs and a foot surface linking the limbs form an U-profile and the limbs at least partially bilaterally encompass the respective press-on web of the holding body and the foot surface spans the respective web front edge of the press-on web, wherein the web front edge has a sealing effect on the foot surface of the seal under a vacuum in the direction of the contact surface, and - the holding body, in addition to the press-on web (11 b) comprises a downwards projecting peripheral web (11 c), the peripheral web encircles the press-on web and a groove is formed between the press-on web (11 b) and the peripheral web, in which a limb of the seal engages.