Systems for restraining palleted cargo within an aircraft are provided. A first system operates to provide vertical and outboard lateral support to cargo at a location where the opposite ends of the system are connected to surfaces that are aligned at different orientations, for example, one end connected to a horizontal floor and the second end connected to a sidewall of the fuselage of the aircraft. A second system operates to provide aft, vertical, and outboard lateral support to cargo upon a pallet proximate to its corner, and at a location where a portion of cargo extends above a stay out zone of the aircraft.