An open stent (a stent having open space through its thickness at locations between the ends of the stent), incorporating flexible, preferably polymeric, connecting elements into the stent wherein these elements connect adjacent, spaced-apart stent elements. Preferably the spaced-apart adjacent stent elements are the result of forming the stent from a helically wound serpentine wire having space provided between adjacent windings. Other stent forms such as multiple, individual spaced-apart ring-shaped or interconnected stent elements may also be used. The connecting elements are preferably longitudinally oriented.