Abstract: An apparatus for the fault-free receiving and issue of sheets has guide rollers which are arranged on a carriage and which engage into belts to alter the geometry of the belts when the carriage is displaced on a rail over a stack by means of a drive. In the receiving or issue operation the sheet to be stacked or a top sheet to be issued rolls, without sliding, around one of the outer guide rollers, on the stack. Disposed between the outer guide rollers on a roller shaft are rotatable suction rollers whose suction cap sucks up the top sheet by means of reduced pressure at the beginnning of an issue cycle. A control arrangement is adapted to trigger off apparatus receiving and issue cycles and establishes predetermined positions of the carriage on the rail.