Northern Territory Attorney-General John Elferink wants to introduce new legislation that will stop convicted murderers being given parole if they refuse to release the location of their victim's body.

Key points: Murderers who refuse to tell police where their victim's body is will not be released on parole

Murderers who refuse to tell police where their victim's body is will not be released on parole NT Attorney-General John Elferink to introduce legislation soon

NT Attorney-General John Elferink to introduce legislation soon West Australian Opposition wants to bring in similar legislation

Mr Elferink said it was disgraceful that families of victims could not bury the bodies of their loved ones.

"Society expects a person convicted of murder to be contrite for their crimes," he said.

"A person who refuses to show that contrition by giving the family an opportunity at least to bury their loved ones is not a person who is contrite, is not a person who has even acknowledged frankly that they've committed a crime."

Mr Elferink said the legislation would only affect one prisoner in the Northern Territory currently, Bradley John Murdoch.

Murdoch is convicted of murdering English backpacker Peter Falconio in a case that captured the world's attention.

Murdoch is currently serving a life sentence for Falconio's murder in Alice Springs in 2001.

"In the case of the Falconio family, they've never been able to bury Peter," Mr Elferink said.

Whether Murdoch could ever be released on parole has not yet been decided, but Mr Elferink said he hoped this legislation would bring closure to the Falconio family.

"That says to Bradley John Murdoch and his ilk that if you want parole, then you have to demonstrate you are contrite for the crime of which you have been convicted," he said.

"If you're not going to be contrite, we don't want you walking amongst us. You won't get parole."

Mr Elferink said the legislation would be similar to that already in place in South Australia.