"There are really successful functioning cities around the world," she told Newstalk ZB's Larry Williams.
She wanted the city to be governed by its own two Prime Ministers and also envisaged a new airport at Whenuapai, so said residents may need a North Shore passport.
Clements wants the referendum to ask New Zealanders: "Should the North Shore establish as an independent city-state to demonstrate a new economic model at the heart of New Zealand?"
She believed the Government was not providing enough money to run the city properly.
"If you would prefer your Reserve Bank extend adequate money supplies so that we have hospitals funded and underground carparks built and overpasses and the money we need to clean up the beach," she said.
If her request for a non-binding referendum is granted, she will need to collect 400,000 signatures within a year, and the referendum would then be presented to Parliament.
Clements also has a High Court judicial review proceeding against the Government for its use of 1080, which she calls a "chemical weapon". She also believes 1080 could be responsible for Mycoplasma bovis disease, affecting New Zealand cattle.