"I'd like to extend my gratitude to the members of the club for their understanding and cooperation", Mori said in a statement.
The Royal and Ancient (R&A), who organise The Open Championship, had axed Muirfield from their list of venues after members at the club made a decision to uphold their rules on not allowing women to join.
The golf club, set to host the men's and women's golf competitions at the 2020 Olympics - had come under fire for its policy of not allowing women to become full members or to play on Sundays after Tokyo Gov. Yuriko Koike raised the issue in January.
The president of the Tokyo 2020 organising committee, Yoshirō Mori, praised the club, founded in 1929, for voting to uphold the spirit of the Olympic charter of non-discrimination.
The club, which was founded in 1929, received worldwide scrutiny for its previous policies under which women weren't allowed to be full-time members or play golf on Sundays. The famed Augusta National Country Club, which hosts the Masters golf tournament in Augusta, Georgia, every April, admitted former Secretary Of State Condoleezza Rice and prominent private investor Darla Moore as its first female members in 2012.
The Tokyo 2020 Organising Committee also wrote to the club's Board of Directors, urging them to make changes as it does not sit in line with the Olympic Charter.
Suri Cruise Looks Like Katie Holmes' Mini Doppelgänger in New Photo
When the girl is serious, she a look-alike Tom, while Suri is making grimaces or laughing, she is looking like mum Katie . She also noted that her nephews and her daughter inspire her with their "accomplishments and handsome hearts".
The change means organisers won't have to find a different golf venue.
Tokyo Metropolitan Governor Yuriko Koike, the first woman elected to that post, raised the issue previous year.
The report, which comes from the Guardian, says that the Japanese golf club have overturned their policy after increasing pressure from Olympic officials.
Kasumigaseki had come under intense pressure from the International Olympic Committee who earlier this month threatened to strip the club of the competition unless they admitted women members.
Kasumigaseki is not the only golf club that has faced calls to end outdated membership policies.