Former One Nation senator Rod Culleton​ has brought a rare private prosecution against federal Attorney-General George Brandis​ in a Canberra court, accusing him of attempting to pervert the course of justice.

Mr Culleton appeared in the ACT Magistrates Court on Thursday for the first brief mention of the case, alleging Mr Brandis misled the Senate over matters that led to his dismissal.

Former One Nation senator Rod Culleton speaks outside the ACT Magistrates Court. Credit:Megan Gorrey

Mr Brandis had been served with a summons but did not appear.

Federal prosecutor Peter Botros asked that the case be adjourned for 10 weeks so the Commonwealth Director of Public Prosecutions could decide whether it would take the matter on.