Senator Fraser Anning will run candidates in most lower house seats and every state Senate ballot at the upcoming federal election after his own political party's registration was approved by the Australian Electoral Commission on Wednesday, the same day he was censured in a rare bipartisan motion.

The registration of Fraser Anning's Conservative National Party by the Queensland senator, who was internationally condemned for comments made following the Christchurch terrorist attack, puts pressure on the Coalition and Labor to clarify where they will place the party, One Nation, and other minor right-wing outfits on their election how-to-vote guides.

Prime Minister Scott Morrison last week declared the Liberal Party would preference One Nation below Labor, following an Al Jazeera investigation that caught two top One Nation aides on camera soliciting money from the United States' National Rifle Association and recorded party leader Pauline Hanson seemingly endorsing Port Arthur massacre conspiracy theories.

In the week leading up to the decision, the Prime Minister deflected questions on preferences by saying he would not want to put One Nation last on how-to-vote cards if Senator Anning ran candidates at the federal election.