An apparatus for sorting products, such as magazines, newspapers and books, CDs and/or diskettes, includes a separation station arranged for making single items of the products supplied in stacks, a conveyor arranged for conveying one by one the products coming from the separation station, and a number of sorting stations arranged adjacent the conveyor. The sorting stations are connected to the conveyor such that a product located on the conveyor can be supplied from the conveyor to a desired sorting station for forming a sorted collection of products in the respective sorting station. The apparatus further includes a control. The control is arranged for controlling at least the conveyor and the sorting stations, such that at least two sorting functions can be performed. A first sorting function involves sorting an unordered collection of products according to type of product, which collection comes from a customer, such as a shopkeeper or a kiosk-keeper, whereby in a respective sorting station products of the same type are collected. A second sorting function involves assembling a number of customer orders.