Abstract: A machine for coiling material in strips is equipped with a device for immobilization of the strip tail at the end of a coiling phase. The immobilization device includes at least one support carrying a roll of adhesive tape and a pressing roller for pressing the tape onto the coil. Each support includes rollers for guiding and introducing the adhesive tape upon receipt of a signal from control unit, a tape cutting tool mounted on a jack which actuates the tape cutting tool upon passage of a preselected length of adhesive tape through the rollers, a magnet or suction cup for separating the tail from the coil, and a strip tail proximity detector which drives the rollers when the tail is detected.