Abstract: A cover is provided that is adapted to wrap around at least a portion of a child container such as a crib or play yard. The cover includes at least one fabric sheet having a surface area sufficient to cover substantially all of a top face of a mattress in the child container. The sheet includes at least one mattress fastener such as a sleeve or band that is operative to mount the sheet to the mattress. The cover also includes at least one panel connected to the sheet which wraps inner faces of the walls of the child container, which extends over the upper edges of the walls, and which extends over adjacent portions of the outer faces of the walls. The at least one panel includes at least one fastener component that is usable to fasten the cover adjacent the outer faces is of the child container.