An asymmetric occlusion device for occluding an opening in a body tissue where part of the opening is defined by a partial inadequate rim. The asymmetric occlusion device includes a waist portion having a distal end extending to a proximal end. The waist portion is of non-woven material extending around a longitudinal axis opening. The occlusion device further includes a pair of asymmetric occluder disks attached to the waist. The asymmetric distal and proximal occluder disks are formed of shape memory material. The asymmetric occluder disks include a short arm extending from the waist and an extended arm extending from the waist. The extended arm exceeds the length of the first short arm. The density of the first short arm exceeds the density of the second extended arm.