The Australian Greens have resolved to vote against any legislation enabling a plebiscite on marriage equality.

"No matter what the enabling legislation for a plebiscite looks like, the Greens will vote against it. We should never put questions of human rights to an opinion poll," said Greens Leader Richard Di Natale.

"The easiest, simplest, quickest, most effective, least costly and least harmful way of ensuring equality in marriage is through a vote in the parliament, and we can do that next week should the Prime Minister decide to show some leadership.

The Australian Greens have slammed the Government's decision to wind back the Safe Schools Coalition after the conservative backbench demanded a review into the program.

"It is clear that Malcolm Turnbull has thrown LGBTI young people under the bus today by bowing to the right-wing backbench bullies and stripping back the Safe Schools program. If the likes of George Christensen can chalk this up as a victory, alarm bells will be ringing for LGBTI students and their families," Greens sexuality spokesperson Senator Robert Simms said.

The Greens are disappointed that the Australian Labor Party has sided with the Liberals to prevent a vote on marriage equality in the parliament today.

"Earlier today in a last ditch effort to derail senate reform, Labor tried to drag out debate on marriage equality. The Greens opposed this and instead moved to actually vote for marriage equality," Greens marriage equality spokesperson Senator Robert Simms said.

The Australian Greens are calling for Prime Minister Malcolm Turnbull to stand up to the conservative backbenchers trying to derail and discredit the vital work of the Safe Schools Coalition.

"The lives of LGBTI young people are on the line here. Prime Minister Malcolm Turnbull needs to draw a line in the sand - he can't throw LGBTI kids under the bus just to ensure he maintains power," Greens sexuality spokesperson Senator Robert Simms said.

"It's time for Mr Turnbull to stand for something and protecting LGBTI young people is a good first step."

The backbench MPs opposed to the Safe Schools Coalition must drop their attack on the program following the Government's review and move on, say the Greens.

"This review was pointless to begin with and now we've got coalition MPs throwing a tantrum because they don't like the outcome. They need to put the safety and well-being of LGBTI young people ahead of their political ideology and stop their homophobic crusade against Safe Schools," Greens sexuality spokesperson Senator Robert Simms said.

The Australian Greens are delighted to announce the petition calling for support for the Safe Schools Coalition has received more than 20,000 signatures in less than two days.

"We launched this petition in response to the 9499 signatures on Cory Bernardi's petition against the Safe Schools program and it's come as no surprise that Australians have overwhelmingly supported a program that promotes inclusiveness of LGBTI young people in our schools," Greens sexuality spokesperson Senator Robert Simms said.