A Melbourne woman found liable for slavery and complicity in her husband's alleged repeated sexual assault of their housemaid has had a $3.3 million damages judgment made against her in the US enforced by Victoria's Supreme Court.

A US judge in 2012 awarded the damages against Linda Howard and her husband Russell who had been found liable over five counts that included holding the Ethiopian-born woman in involuntary servitude.

That judge found that the victim, known only as Jane Doe, was raped and sexually abused by Mr Howard and forced to work 80 hours or more a week as a domestic servant in Tokyo, where Ms Howard was employed in the US embassy.

Lawyers acting for Ms Doe began proceedings to enforce the damages judgment after they learnt that Ms Howard, an American citizen, was living in Melbourne with her new Australian husband.

On Friday, Justice Jack Forrest rejected Ms Howard's three arguments that the US judgement was entered by default rather than after a trial, that Ms Doe had fabricated the claim against her and that the judgment constituted a penal order.