Abstract: A machine for compacting and tying coils comprises a compacting unit mounted for movement in the direction of a tying unit, which itself includes a supply of tying wire. The tying wire is supplied to wire guide channels adapted to close around the compacting coil in order to make ties. The tying unit also has twisting heads for tying two ends of each tie after the corresponding wire has been pulled. Each guide channel is associated with at least two retractable rollers disposed on the movable compacting unit adjacent its support surface bearing against the coil and on each side of the latter, for the purpose of supporting the tying wire while it is being pulled.