Abstract: A double lift openshed dobby has a central shaft (1) on which are mounted a plurality of swing levers (2), each carrying a pair of articulated hooks (3), (4) kept inoperative by a spring (5), and two drive knives (13), (14) which are reciprocated at half the loop frequency in opposite phases to shed said swing levers selectively between two rest positions of openshed. In use, each swing lever is connected to a loom harness and defines a first of said rest positions when rested on a cross bar (12) against a downward bias; the other rest position being defined when the elevator (10), located by a cross bar (11), engages the notch (2a) in the swing lever. If a swing lever has to stay in its current rest position its hook pair is left inoperative; but if it has to be shed a hook of its hook pair is made to link by the action of the selector (6) with whichever of the two drive knives approaches its rest position first and, simultaneously, the elevator (10) is made to release or engage the notch (2a) as necessary.