A Jacquard machine, having at least two knife grids (5, 6)moving up and down in opposition on either side of the Jacquard machine, the Jacquard machine having a single-sided drive (1) for driving at least one driving lever (2,3) which is provided for driving the motion of the knife grids (5, 6) on either side of the Jacquard machine, and one traversing rocking shaft (24) being provided to transmit the motion of the driving lever (2 and 3 respectively) to the knife grids (5,6) of one of the sides of the Jacquard machine.