A method and an arrangement for feeding out end sheets from a stack of sheets comprises that a driver acting against the end sheet of the stack (1) first displaces the end sheet in the plane thereof toward a support for elastic bulging of the end sheet, and then displaces the buckled end sheet away from the support, to a separating arrangement for the separation of sheets that unintentionally are accompanying the end sheet (21) fed out. The driver being carried by a spring arrangement, which offers an increasing support force to the driver upon the advancement of the stack by means of a pusher acting against the rear end of the stack. A sensor detects the displacement position of the driver, and activates the driver for a sheet-outfeed operation when the distance sensor detects a displacement position of the driver corresponding to a predetermined abutment force of the driver against the end sheet. Between the sheet-outfeed operations, the pusher is unloaded.