"I've now been given an opportunity to turn my dream of having a retail premises into a reality.
"But the reality is, I can't do it without your help."
Brown said she had only two weeks to raise the money and then only another fortnight to transform what is essentially a shell into a captivating retail space.
The Kickstarter campaign offers eight tiers of rewards for pledges starting from £10 up to £1000+.
Rewards include tickets to the launch party, limited-edition prints, Riedel tasting glasses and private wine events with Brown and her team.
Her campaign video includes statements of support from former All Black Sean Fitzpatrick, chef Peter Gordon and president of the New Zealand Society UK Tania Bearsley.
As of 2pm today, 58 people had pledged more than £10,000 towards the campaign.
See the Kickstarter video here:
Brown said the £35,000 asked for was the minimum amount required for The New Zealand Cellar to build, design and fit out the space with everything from shelves and light fittings to new systems and training.
The walls would be lined with more than 200 New Zealand wines from 72 producers and customers would be able to taste and buy by the glass or carafe any of 12 wines being served at the time.