Labor has dumped its own plans for widespread discrimination reform, demonstrating they don't have the courage of their convictions on social reform, say Australian Greens Leader Christine Milne and Greens Attorney-General Spokesperson Penny Wright.

"This is nonsensical. The anti-discrimination reforms had every chance of succeeding in Parliament so why has Labor turned tail and given up on equality again? " Senator Christine Milne said.

"The timing issue is just an excuse from the Attorney-General.

"Labor has lost the political will to protect human rights.