A climbing formwork (1) for erection of a concrete structure (2) by successively casting a plurality of casting segments (14, 15, 16), the climbing formwork (1) comprising at least a first form element (4) for delimiting a cavity (6) to receive concrete for forming an uppermost casting segment, a first support structure (7) to support the first form element (4), characterized by a first measuring unit (10) for determining an actual spatial arrangement of the first form element (4), a second measuring unit (11) for determining a spatial arrangement of a first lower casting segment (14), a processing unit (17), the processing unit (17) being arranged for calculating a target spatial arrangement of the first form element (4) from the spatial arrangement of the first lower casting segment (14), the processing unit (17) further being arranged for determining a deviation between the actual spatial arrangement and the target spatial arrangement of the first form element (4).