A buffer storage arrangement contains at least two roll modules (41-44) with interchangeable roll hubs or rolls. A common feed belt (11), the winding planes of the roll modules (41-44) and a common removal belt (12) are located in a vertical plane. The feed belt (11) passes linearly over the winding stations (41-44) and has a number of branching locations (51-54) corresponding at least to the number of winding stations (41-44). Each winding station (41-44) has a connection to the removal belt (12), which passes linearly beneath the winding stations. In order to be able to select the reciprocal arrangement of the products at the outlet, within the apparatus at least one device (7, 79) is provided for rewinding the rolls or the modifying the inlet parameters of the arrangement of the printed products. This permits unrestricted off-line buffer storage of the products and flexible conversion of their inlet parameters, with respect to their reciprocal positioning, orientation or timing frequency.