Green councillor Christy Mearns, who introduced the motion, said she was delighted the plan had received cross-party backing.
She said: “This could help to raise much-needed revenue for Glasgow’s grassroots venues which are under threat, yet which are absolutely vital to our city’s musical success.
“Grassroots venues support new artists to hone their craft, develop followings and nurture local subcultures.
“Without them it’s very possible we wouldn’t have many of the big names who started out in exactly these spaces.”
A spokesperson for the Scottish Event Campus, which includes the OVO Hydro and the SEC Armadillo venues, said it would welcome ways of supporting the grassroots.
They said: “The live entertainment industry is of vital importance to the UK economy, and we welcome initiatives that seek to support it.
“All industry stakeholders are liaising extensively on a proposed levy to provide much-needed support to the grassroots eco system and the most effective way to do this.”
