A system for distributing commodities such as foods requiring cold packing, such as frozen sea foods, chilled foods, cooled foods, etc., in disposable cold insulation boxes which can use ice and/or dry ice to cool these foods. This system comprises a packing facility for packaging commodities, into repetitively usable cold insulation boxes together with a repetitively usable cold insulating material, to produce cooled packages, a distribution facility for stacking resultant cooled packages for distribution to customers, a renewing facility for renewing used cold insulating material and used cold insulation boxes to facilitate their reuse, and a stock facility for stocking the renewed cold insulating material and the renewed cold insulation boxes, as components of the system, wherein each of the cold insulation boxes consists of a box body and a cover, and opening action proving tapes are stuck to straddle the body box and cover to couple them together.