The automatic machine comprises: a guide ring to wind a tape about pipes or the like; a mobile sealing group to tension and bind a length of tape, a shoe to fold an end of the tape back on itself and a shearing group to cut the tape. The guide ring surrounds the bundle of pipes and exhibits a channel cut into its surface facing the guide ring center, which channel is of a section adapted to receive the tape from a bi-directional entrainer and through an aperture made in the guide ring. A second aperture in the guide ring receives an open clasp. The shoe can move from a position external of the ring to a position internal of the ring, in which latter position the shoe folds the end of the tape back such that it is held fast while the tape, after being wound about the pipe bundle, is tensioned prior to sealing.