A surgical access apparatus adaptable to permit the sealed insertion of either the surgeon's hand and/or surgical instruments during laparoscopic and endoscopic surgical procedures includes an access member having a passageway therethrough and first and second seal members mounted across the passageway. The first and second seal members each has an aperture in non-overlapping relation to each other in the absence of the object positioned therein. The outer seal portion of the first seal member may include a plurality of expansible ribs and corresponding recesses arranged along respective lines of intersection with the axis of the first seal member.