The ex-Blue Knight has been handed an interim interdict blocking the meeting taking place on October 24 at the Court of Session in Edinburgh.
Murray wanted the meeting delayed after the Rangers board blocked his motion to have an election on the proposed admission to the board of himself and former chairman Malcolm Murray, as well as allies Scott Murdoch and Alex Wilson, added to the business of the AGM.
Lord Tyre ruled there was "no valid legal reason" for chief executive Craig Mather and the other Rangers directors not to present the Murrays' motion to the rest of the club's shareholders.
Rangers must now give 21 days' notice to shareholders before they can stage a fresh AGM.
Murray was also awarded costs for Monday's hearing.