The heddles of a weaving machine have vibration absorbing material on the end loops thereof which normally contact edges of metal rods mounted on a heddle frame for oscillating movement, the heddles effecting a lifting movement relative to the rods upon oscillation thereof. Metal-to-metal contact between the end loops and the rods is therefore avoided so as to reduce noise during operation of the machine and so as to avoid corrosion of the heddles and the rods.