Abstract: An apparatus for destacking a stack of flexible flat structures, especially unfolded or folded sheets or printed products, comprising a stack support composed of revolving driven rolls and contact rails disposed above the stack support for defining a stack support surface. A separation device is arranged below the stack support and revolvingly driven in cycle or rhythm with the arriving rolls in order to continuously downwardly remove an edge of the momentarily lowermost flat structure between the arriving rolls. A conveyor device engages below the stack support for the removal of the printed products which have arrived beneath the stack support. The stack support surface is arranged to be at an inclination or directed obliquely at one of its corners towards the direction of movement of the rolls.