The present disclosure provides occlusion devices which comprise (a) a self-expanding support frame having a longitudinal axis comprising a plurality of loops each having an orifice, the support frame being self-expandable from a constrained shape to an unconstrained shape, and (b) a covering material covering an orifice of at least one of the loops. Also provided are assemblies and kits that contain such occlusion devices, and methods of delivering such occlusion devices to a patient.