Former Senator David Leyonhjelm has lost his bid to overturn a ruling that he defamed Greens Senator Sarah Hanson-Young.

The Federal Court found Mr Leyonhjelm defamed Senator Hanson-Young by suggesting she was a misandrist and a hypocrite in Parliament and in media interviews in 2018.

Senator Hanson-Young was awarded one hundred and twenty thousand dollars in compensation, which she pledged would go to charity.