Australians considering becoming members of a neo-Nazi party will be "exposed as racists" as the organisation attempts to creep into mainstream politics.

The National Socialist Network is ramping up efforts to form a political party for the next NSW election after 60 demonstrators linked to the right-wing extremist group assembled outside state parliament on Saturday with a banner that read "Abolish the Jewish Lobby".

To register a party in NSW, it must have a minimum of 750 members.

Premier Chris Minns issued a warning to those considering aligning with the extremists.

"Anyone who's thinking about signing the paperwork to register this political party has to think long and hard about whether they want their name and their reputation publicly associated with Nazis," he told reporters.

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