Murdoch urged to come clean on Falconio

The man convicted of killing British backpacker Peter Falconio should finally reveal where his body was hidden to give the family closure, the Northern Territory's attorney-general says.

Bradley John Murdoch is serving a life sentence with a 28-year non-parole period for the 2001 murder of Peter Falconio, who was travelling through the NT with his girlfriend Joanne Lees.

He maintains his innocence, and Mr Falconio's body has never been found.

Murdoch has already had two unsuccessful attempts at appeal, and on Friday lodged a notice to withdraw his latest with the Criminal Court of Appeal in the NT.

"What I am calling upon Mr Murdoch to do is finally come clean with the world that already knows he is guilty," NT Attorney-General John Elferink told AAP on Sunday.

"If he has a shred of decency in that dessicated husk that he calls a soul then he would identify where the body of Peter Falconio is, so his parents will be able to bury their son and have some finality out of this whole sorry affair."

He should give the Falconio family some peace, Mr Elferink said.

"He's hardly covered himself in glory so far, but at one point or another he will meet his maker, I presume, and if he does so I hope he could at least demonstrate some contrition for his actions."

A Seven Network Today Tonight story aired in January claimed Falconio had been dumped in a well only 2.5 km from the site of the attack north of Alice Springs on the Stuart Highway, but nothing so far has been uncovered.

Mr Elferink would not comment on whether Murdoch's latest appeal was flimsy, something denied by his legal representatives on Friday.

Murdoch believed a News Corp interview with prosecutor Rex Wild QC in November showed that the prosecution felt Joanne Lees was so unlikeable that she might have endangered their case, and so groomed her "secretly, deliberately and improperly" to improve her behaviour in order to obtain a conviction from the jury.