A sheet-processing machine includes a conveyor for transporting processed sheets at a processing speed and for releasing the sheets for braking to a depositing speed. A braking element serves for the braking of the released sheets to the depositing speed. A drive is provided for the braking element, and a drive connection is provided for connecting the drive to the braking element. Further included are an overrunning clutch in the drive connection, and a brake for retarding the braking element.