10 U.S.C. § 8307

The President shall provide for the presentation of the Medal of Honor Flag designated under section 903 of title 36 to each person to whom a medal of honor is awarded under section 8291 of this title . Presentation of the flag shall be made at the same time as the presentation of the medal under section 8291 or 8300 of this title. In the case of a posthumous presentation of the medal, the flag shall be presented to the person to whom the medal is presented.