A device and a method for the automatic fitting of an elastic element, which includes a closed loop around a rectilinear element in particular, such as an assembly including a vine shoot and a support wire. The device includes an upper arm, equipped at one of its ends with a hook for hooking an upper portion of the closed loop of the elastic element, with the upper arm being mounted by its other end to pivot around an axis. The device also includes two lower arms, equipped at one of their ends with a hook for hooking a lower portion of the closed loop of the elastic element, with the lower arms being mounted by their other end to pivot around the same axis. The device also rotates around the axis of the upper arm in a given direction and of the lower arms in the reverse direction.