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 .