An automatic door system for a building, in particular comprising a sliding door or a telescopic sliding door or a folding door, with the following characteristics: - a first displaceable leaf is provided, which is movable along a first section in the longitudinal direction of the door system, - at least one first driving device is provided, operatively connected to the at least one first displaceable leaf so that the first displaceable leaf is movable along the first section; - a first fixed leaf is provided, which is stationary, the first displaceable leaf being movable relative to the first fixed leaf; - the first fixed leaf comprises a pane structure comprising a front side, a reverse side opposite the front side, an upper edge, a lower edge, a first vertical edge and a second vertical edge opposite the first vertical edge; characterized in that the door system has the following additional characteristics: - a first and/or second clamping device (30a, 30b) is present; - the first clamping device is attachable on a first supporting structure of the building above the fixed leaf and/or the second clamping device is attachable on a second supporting structure of the building beside the first vertical edge of the first fixed leaf; - the first clamping device is formed to press the upper edge of the first fixed leaf, directly or via a profile frame structure, against the first supporting structure of the building and to clamp it to the same, whereby a first panel of the building is additionally pressable against the first supporting structure of the building and clampable with the same by the first clamping device, and/or the second clamping device is formed to press the first vertical edge of the first fixed leaf, comprising a first leaf clamping section, via said first leaf clamping section, against the second supporting structure of the building and to clamp it to the same. - a first displaceable leaf is provided, which is movable along a first section in the longitudinal direction of the door system, - at least one first driving device is provided, operatively connected to the at least one first displaceable leaf so that the first displaceable leaf is movable along the first section; - a first fixed leaf is provided, which is stationary, the first displaceable leaf being movable relative to the first fixed leaf; - the first fixed leaf comprises a pane structure comprising a front side, a reverse side opposite the front side, an upper edge, a lower edge, a first vertical edge and a second vertical edge opposite the first vertical edge; - a first and/or second clamping device (30a, 30b) is present; - the first clamping device is attachable on a first supporting structure of the building above the fixed leaf and/or the second clamping device is attachable on a second supporting structure of the building beside the first vertical edge of the first fixed leaf; - the first clamping device is formed to press the upper edge of the first fixed leaf, directly or via a profile frame structure, against the first supporting structure of the building and to clamp it to the same, whereby a first panel of the building is additionally pressable against the first supporting structure of the building and clampable with the same by the first clamping device, and/or the second clamping device is formed to press the first vertical edge of the first fixed leaf, comprising a first leaf clamping section, via said first leaf clamping section, against the second supporting structure of the building and to clamp it to the same.