Royal Troon members have voted "overwhelmingly" to allow women to join the club at a special meeting, it was confirmed on Friday.
The Scottish golf club said a recent consultation found that admitting women members was supported by over three-quarters of those who participated.
A spokesman for The R&A said: "We welcome this decision by the membership at Royal Troon and recognise its significance for the club.
"Our focus today is very much on The 145th Open in just under two weeks' time but we can now look forward to many more great Championships at Royal Troon in years to come."
Muirfield, meanwhile, voted in May not to admit women members, and subsequently lost its right to stage The Open.
