The ladies in navy are back and they have taken their fight to exclude men from the Ladies Lounge at Hobart's Museum of Old and New Art (Mona) to the Supreme Court.

About 70 women dressed in navy blue power suits and pearls walked in slow motion along Salamanca Place to the Supreme Court in Hobart this morning.

The court is hearing an appeal by Mona against an order by the Tasmanian Civil and Administrative Tribunal (TASCAT) to allow men to enter the Ladies Lounge at the museum.

Instead of permitting men entry, Mona closed the lounge after the tribunal's decision.

The lounge is a small space within the museum surrounded by velvet curtains which contains artwork and lounges. Only people who identify as being "ladies" were allowed in.

Last year, New South Wales man Jason Lau visited the museum and was denied entry to the lounge.

Mr Lau successfully argued in TASCAT that his entry denial was discriminatory.

In court on Tuesday, Mona's lawyer, Catherine Scott, argued the Ladies Lounge was a "flipped universe" designed to promote equal opportunity by providing men with the experience of discrimination as experienced by women throughout time.

"That's its purpose, that's its reason for being," Ms Scott told the court.

She told the court women were not treated equally, were subject to gender-based violence, paid less than men and were "less respected, less valued and less powerful than men".

Kirsha Kaechele, the Ladies Lounge curator and wife of the museum's owner, David Walsh, argued in the tribunal that gender bias was "so entrenched that we don't even see it".

The court heard that denying Mr Lau entry to the lounge shone a spotlight on the experiences for women who have been excluded from various spaces.

Mr Lau is not in court and is being represented by barrister Greg Barns, SC, for free.