In a fresh ballot, 80.2% of members at the privately owned Scottish golf club, founded in 1744, opted to accept female members, overturning a previous vote held less than 12 months ago.
The R&A, the organizer of the Open Championship, moved quickly to reinstate Muirfield on the Open rota after it was removed in 2016.
The result of last May’s vote caused a storm, with Scotland’s First Minister Nicola Sturgeon calling the decision “indefensible.”
Responding to Tuesday’s announcement, Sturgeon tweeted: “Well done, Muirfield — decision to admit women members emphatic and the right one. Look forward to seeing you host the Open again in future.”