A vena cava filter is described, having one or more frame members or an elongated member arranged in helical fashion. A plurality of filaments connect frame members or portions of the elongated member. The filaments may be made of suture material. Hooks may be placed on a free end of the filaments, along the length thereof, or on one or more frame members to engage the blood vessel wall and anchor the filter. A retrieval member may be positioned on the filter to facilitate withdrawal of the filter from the blood vessel.