Method and apparatus for binding a bundle using an elongate flat strap having a heat sensitive adhesive thereon. The apparatus includes mechanism for driving the strap in a loop around the bundle, a gripper for gripping an end of the strap, mechanism for drawing the strap taut about the bundle, and heated press elements for clamping adjacent overlapping portions of the strap together to reactivate adhesive in the strap to bond the overlapping sections together. A cutter severs remainder portions of the strap.