A machine for pulling off plant branches, in particular vine branches, of tying wires to which they cling by tendrils comprising a combination of means capable to extract the branches downwards. The combination of means comprises a (resiliently pivoted) pressing member and a pulling member facing the pressing member. In operation, the pulling member is moving so that its surface oriented towards the pressing member moves downwards. Cut-off branches are pressed on this surface by the pressing member by a force sufficient that the branches are dragged downwardly along and are forcibly detached from the tying wires. The downward removal corresponds to the about V-shaped ramifications of the plant, so that it is effected more easily and without obstruction by the ramifications which tend to get caught by the tying wires when removal occurs upwards. A branch not cut-off and tied to the trellis wire withstands the pressing member provided a suitable adjusted resilient pressing force is selected, supported by the pressing member consisting of a resilient material like an elastomer. Such a branch will not suffer any contact, or at least a minimal contact only, with the pulling device.