A transport apparatus for transporting flat, rectangular sheet material, in particular sheet-shaped value documents such as bank notes, comprises a distributing element reciprocating between at least two positions, or at least two distributing elements reciprocating between two positions, the distributing element or elements moving delivered sheets of the sheet material alternatively or alternatingly into at least two removal positions, and at least one removal device for carrying off the sheets out of the removal positions in removal directions associated with the removal positions.