Haw. Rev. Stat. § 124B-114

At any time within two years after approval by the convening authority of a court-martial sentence that extends to dismissal or dishonorable or bad-conduct discharge, the accused may petition the governor for a new trial on the grounds of newly discovered evidence or fraud on the court-martial. If the accused's case is pending before the state intermediate appellate court or state supreme court, the state judge advocate shall refer the petition to the appropriate court for action. Otherwise, the state judge advocate shall act upon the petition.