Attorney-General George Brandis misled Parliament over his dealings with the government's chief legal adviser, a Senate committee has concluded in a damning report that reopens the toxic rift between the two men.

In a report released late on Tuesday, the Senate standing committee on legal and constitutional affairs concluded Senator Brandis did not consult former solicitor-general Justin Gleeson, SC, about a controversial change to the way he would be briefed.

It sets the stage for a censure motion against Senator Brandis, who had assured Parliament Mr Gleeson was advised about the move. Mr Gleeson resigned his post on October 24, saying their relationship was "irretrievably broken".

The chair of the committee, Labor senator Louise Pratt, said the report demonstrated the "unfitness of the Attorney-General to hold his high office" and he had made "false and misleading statements" in the Senate.