New heads adapted to a tape stapler machine in order to carry out all kinds of tightening binding and stapling operations, not only for props, guides, canes or bunches or bundles of twigs or branches, but also any group of parts or items that require a certain binding tension so that they become well fitted or adjusted to each other, with the binding creating a certain reactive force, for which a type of tape is used which has a degree of elasticity capable of supporting the increase in the reactive tension of the bound bundle and to give rigidity and robustness to the binding.