Burston showed off a cut on his thumb following the altercation and, following an initial denial, admitted to smearing his blood on Hanson's parliamentary office door.
In a statement, Burston said he "reported the full matter to the Australian Federal Police" and was asking for a restraining order against the aide.
"This matter is now in the hands of the police," he added.
The confrontation, which was caught on camera, took place as Burston accused Hanson of years of unwanted sexual advances and Hanson accused an unnamed senator -- believed to be Burston -- of sexual misconduct.
Hanson, leader of the One Nation party, made light of the harassment allegations by saying she was 64 years old but "not that desperate".
The pair split politically last year and have feuded since.
Amid the most recent spat, the Guardian reported that a female aide once accused Burston of offering sex to cheer her up. He denied the allegations.
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