It is disclosed a order-picking method and a rack warehouse (10; 100; 200; 308) for order-picking goods stored in load supports (52), particularly on trays, comprising: at least one rack (20; 30) having first and second longitudinal sides (24, 25) and two front faces (22, 23), wherein the rack has at least one rack plane (40-44), wherein each rack plane (40-44) comprises a plurality of rack rows (46), wherein the rack rows (46) are arranged on top of each other and respectively comprise a plurality of rack positions (48) arranged side-by-side; at least one rack feeder (33) for each rack plane (40-44) comprising at least one load suspension device for the purpose of storing and retrieving load supports (52) into or from the rack positions (48) of a rack plane (40-44), wherein the rack feeder can travel in horizontal and vertical directions (37, 35) along the first longitudinal side (25) of the rack (20, 30), in order to store and retrieve load supports (52) in or from its rack plane (40-44); and several vertical lift units (26), which are arranged at the second longitudinal side (24) of the rack (10) and comprise a load suspension device for retrieving and delivering load supports (52) from or to transfer rack storage positions (50). Particularly, at least one work station (28) is provided, wherein a work station (28) is assigned to each lift unit (26), wherein each work station (28) comprises a device (58) for presenting a load support.