A container for transporting a plurality of curved glass sheets lined up side by side. The container includes a bottom structure, such as a pallet, a back wall extending upward from the bottom structure, a first side wall connected to a first end of the back wall and extending upward from the bottom structure, and a second side wall connected to a second end of the back wall and extending upward from the bottom structure. The container includes a cradle portion proximate the back wall extending into an interior portion of the container. The cradle portion including a glass sheet supporting surface for contacting a backmost one of the plurality of glass sheets. The supporting surface has a radius of curvature to correspond with the curvature of the backmost one of the plurality of glass sheets. The container also includes two back corner support structures, each configured to support a portion of the respective side walls and a portion of the back wall.