More than three-quarters of Australians say they would oppose a popular vote on their right to marry, a new survey has found.

The latest research from a breakaway group campaigning against the Turnbull government's decision to hold plebiscite on same-sex marriage shows 36 per cent of respondents support a popular vote on same-sex marriage when asked to consider their own right to marry.

The Galaxy survey of 1000 Australians, commissioned by Parents and Friends of Lesbians and Gays, found 76 per cent of respondents would not be happy if they needed popular support before getting married.

Long-time same-sex marriage advocate Rodney Croome said: "It's clear that when everyday Australians are encouraged to walk in the shoes of LGBTIQ people, they reject a plebiscite."