In the case of a method and an apparatus for the order picking of items in an order-picking installation (30) with an automatic order-picking device (31) and an associated dynamic-storage rack (1) as a store for replenishing the automatic order-picking device with items, it is proposed to automatically transport the items, preferably separately according to type, in containers or boxes (2) to the dynamic-storage rack (1) on a driven conveying line (4) and, after reading and identifying them, to introduce them automatically by means of an activated stationary lift (5) and activated level serving devices (6) of the dynamic-storage rack (1) into selected dynamic-storage channels (3) of the dynamic-storage rack with exits (A) that can be manually reached by an operator (17), wherein, after manual removal of the containers/boxes (2) at a selected exit (A) of a dynamic-storage channel (3) and unpacking of the containers/boxes by the operator, the items are introduced, separately according to type, into order-picking compartments to be replenished of the automatic order-picking device (31).