Abstract: A convertible top for a vehicle includes a folding top frame having top-folded and top-unfolded positions, a storage well in the vehicle, a cover for the storage well, and an actuator operably connected between the cover and the vehicle for moving the cover between a closed position and an open position. The cover when in its closed position covers the storage well, and when in its open position uncovers the storage well. Lockably engageable parts on the cover and the folding top frame are operable to effect locking engagement between the cover and the folding top frame. The actuator includes a cross strut mounted on the cover and having a helical-like groove, and a reversing lever pivotally mounted to the vehicle and having a thrust pin disposed in the groove such that pivoting of the reversing lever rotates the cross strut.