Greens senator Sarah Hanson-Young has demanded Liberal Democrat David Leyonhjelm pay her compensation and apologise within seven days or face defamation action over six separate statements he has made about her personal life.

A concerns notice sent to Senator Leyonhjelm on Wednesday, and provided to Fairfax Media, claims Senator Leyonhjelm has repeatedly made comments that damage Senator Hanson-Young's reputation by implying she "is a slut, shagging men indiscriminately" and is a misandrist.

Senator Hanson-Young claimed the harm to her reputation was aggravated by Senator Leyonhjelm deliberately publishing the claims to a mass audience which included her child and family "in order to hold her up to public shame and disgrace".

Sarah Hanson-Young has demanded an apology and financial compensation within seven days. Credit:Alex Ellinghausen

The concerns letter issued by Kennedys law firm alleged the harm was further aggravated by Senator Leyonhjelm repeating his comments out of "self-seeking publicity and self-aggrandisement, and persisting to do so despite widespread condemnation by prominent persons in the community".