Abstract: A machine to bend tubular elements comprising bending means provided with a bending arm and a bend core disposed, when in use, inside said tubular element. The bend core comprises a support bar, a contrasting ogive and a possible bend-follower element disposed articulated at the head of the contrasting ogive. The machine also comprises movement means to move said tubular element in a direction toward said bending means and cutting means to cut a segment of tube. The machine comprises holding means disposed on the perimeter around said tubular element and configured to maintain said bend core in a condition of suspension inside said tubular element.