Façade structure, preferably curtain-wall back-ventilated façade structure, - with a substructure formed of support profiles (41, 42), which is arranged in front of a building wall and anchored fixedly in the floor and/or in the building wall, - with façade tiles with ridges and/or extruded, preferably made of ceramic material, e.g. clay material, which are fastened to the substructure via tile holders, - wherein the tile holders are arranged on all or only some of the support profiles (41, 42), the tile holders being fastened, preferably detachably, to the support profiles (41, 42) directly or via separate supports, and the tile holders having receivers, which engage with edge areas of the façade tiles to fasten the façade tiles, wherein it is provided that - press-on elements are arranged concealed behind the façade tiles supported against the substructure; and - the press-on elements are in each case assigned to only one façade tile, in such a way that the press-on elements in each case grip on the back of the assigned façade tile in an area which is arranged at a distance from the tile holders gripping with their receivers on the façade tile, and the assigned façade tile is resiliently impinged on in the direction towards the front like a shake-proof receiver of the façade tile, - the press-on element has a fastening section via which the press-on element is fastened to a support profile (41, 42) of the substructure, preferably to a support profile (41, 42) to which one or more of the tile holders is or are fastened, characterized in that • the fastening section is fastened to the support profile by means of a plug-in device engaging in a positive-locking manner in a slot (41l, 42l) of a row of inclined elongated holes in the support profile (41, 42), wherein the slot is formed as an elongated hole of the row of inclined elongated holes formed in the support profile; • the fastening section is formed as a clamping lug, which, for the fastening, cooperates with the elongated hole of the row of inclined elongated holes selected for the respective position in the profile support, forming a clamping connection, wherein the clamping lug has an inclined end edge, in which a Z-shaped bend is formed for engagement in the selected elongated hole, and the incline of the end edge corresponds to the angle of inclination of the elongated hole of the row of elongated holes. - with a substructure formed of support profiles (41, 42), which is arranged in front of a building wall and anchored fixedly in the floor and/or in the building wall, - with façade tiles with ridges and/or extruded, preferably made of ceramic material, e.g. clay material, which are fastened to the substructure via tile holders, - wherein the tile holders are arranged on all or only some of the support profiles (41, 42), the tile holders being fastened, preferably detachably, to the support profiles (41, 42) directly or via separate supports, and the tile holders having receivers, which engage with edge areas of the façade tiles to fasten the façade tiles, wherein it is provided that - press-on elements are arranged concealed behind the façade tiles supported against the substructure; and - the press-on elements are in each case assigned to only one façade tile, in such a way that the press-on elements in each case grip on the back of the assigned façade tile in an area which is arranged at a distance from the tile holders gripping with their receivers on the façade tile, and the assigned façade tile is resiliently impinged on in the direction towards the front like a shake-proof receiver of the façade tile, - the press-on element has a fastening section via which the press-on element is fastened to a support profile (41, 42) of the substructure, preferably to a support profile (41, 42) to which one or more of the tile holders is or are fastened, characterized in that • the fastening section is fastened to the support profile by means of a plug-in device engaging in a positive-locking manner in a slot (41l, 42l) of a row of inclined elongated holes in the support profile (41, 42), wherein the slot is formed as an elongated hole of the row of inclined elongated holes formed in the support profile; • the fastening section is formed as a clamping lug, which, for the fastening, cooperates with the elongated hole of the row of inclined elongated holes selected for the respective position in the profile support, forming a clamping connection, wherein the clamping lug has an inclined end edge, in which a Z-shaped bend is formed for engagement in the selected elongated hole, and the incline of the end edge corresponds to the angle of inclination of the elongated hole of the row of elongated holes. • the fastening section is fastened to the support profile by means of a plug-in device engaging in a positive-locking manner in a slot (41l, 42l) of a row of inclined elongated holes in the support profile (41, 42), wherein the slot is formed as an elongated hole of the row of inclined elongated holes formed in the support profile; • the fastening section is formed as a clamping lug, which, for the fastening, cooperates with the elongated hole of the row of inclined elongated holes selected for the respective position in the profile support, forming a clamping connection, wherein the clamping lug has an inclined end edge, in which a Z-shaped bend is formed for engagement in the selected elongated hole, and the incline of the end edge corresponds to the angle of inclination of the elongated hole of the row of elongated holes.