The present invention provides self-expanding or otherwise expandable artificial valve prostheses for deployment within a bodily passageway, such as a vessel or duct of a patient. The valve prostheses include a support structure having an outer frame (201) defining a lumen and supporting radial members (204,205,206) each having a first end joined with the first end of the other radial members within the lumen and a second end attached to the circumference portion (202) of the outer frame (201).