A court order suppressing the name of the man accused of murdering Daniel Morcombe was lifted last night.

The move comes after Bruce and Denise Morcombe said they wanted their son's alleged killer, 42-year-old Brett Peter Cowan, named in the press.

Brett Peter Cowan is accused of murdering Daniel Morcombe. Credit:Network 10

The order suppressing father-of-three Mr Cowan's name was revoked shortly before 6pm yesterday in a Brisbane court.

Peter Boyce, representing the Morcombes, had told the court his clients wanted Mr Cowan identified.