A machine for pulling out the cut-off vine branches (S) that are hanging on a tying wire (F), including a supporting frame (1), a gantry (2) comprising an arm set mounting so as to swivel and having an overhanging end, a gripping device (3) for the cut branches (S) including at least one gripping disk (23) connected to the overhanging end and showing notches (24) for gripping and dragging along the cut branches (S), a transfer device (4) comprising a transfer element (28) showing notches for gripping and dragging along the cut branches (S) gripped by gripping disk (23), and a detaching device (5) for the cut branches (S) arranged at the outlet of transfer device (4) and including a device for capturing the cut branches (S) and pulling them in the direction opposite to transfer device (4).