The weaving machine contains an insertion system for a plurality of generally different weft threads, which comprises for each weft thread a thread supply (2), a thread store (3) and a color selector (4) for the selective serving of the weft threads as well as a rapier (10) for inserting the served weft thread. At least one common thread brake (7) is provided for all weft threads (1) in order to brake the respective served weft thread (1) during the insertion as required. In addition to the simple mechanical construction, the simple handling and controlling are seen as advantageous.