In accordance with embodiments of the present disclosure, a tonneau cover for covering a pickup truck's cargo bed may include a frame structure for attaching to walls of the cargo bed. The tonneau cover may include a soft cover for covering the cargo bed, wherein the soft cover has edges that can be attached to the frame structure, and a cross bar attached to an inner side of the soft cover. When the soft cover is in a closed position, two ends of the cross bar are supported by the frame structure, and at least a portion of the soft cover is supported by the cross bar.