Justin Gleeson SC has been run out of office by a government with no regard for proper process or the rule of law, Greens Justice spokesperson Nick McKim says.

"Mr Gleeson's resignation letter makes it clear that he is sticking to his guns," Senator McKim said.

"There was no doubt a breakdown in trust between the Solicitor-General and the Attorney-General, but this can be laid squarely at the feet of Senator Brandis."