Frontman Bono raised the Hicks case during last night's concert in Brisbane.
The singer, during the U2 classic Sunday Bloody Sunday, said Hicks should be released from the Guantanamo Bay detention camp in Cuba, where he has been since 2001.
"We call for David Hicks to be brought back to Australia," he said.
The Irish rock star may have the opportunity to discuss the matter with Australian Prime Minister John Howard.
He has already said he wants to talk to Mr Howard about boosting Australia's aid to poor countries.
Bono says wealthy countries should donate more of their GDP (gross domestic product) to help combat global poverty, particularly in Africa.
Mr Howard said while there had been no approach to his office for a meeting, he would be happy to accommodate the rocker.
Hicks, an Adelaide-born Muslim convert, has been detained at Guantanamo Bay naval base in Cuba since he was captured with Taliban forces in Afghanistan five years ago, but is yet to face trial.
Tour kicks off
U2 blasted more than 45,000 Brisbane fans with a stunning display of stadium rock in their first Australian performance since early 1998.
Fans relished the spirited performance from Bono, guitarist The Edge, bass player Adam Clayton and drummer Larry Mullen Jnr.
The Queensland Sports and Athletics Centre was transformed with a monstrous stage at its southern end and an enormous backing screen that provided a visual feast.
Since they last toured Australia, U2 have produced two of their most critically acclaimed albums -- All That You Can't Leave Behind (2000) and How To Dismantle An Atomic Bomb (2004).
The concert opened with City of Blinding Lights from their latest album and featured hits from a recording career spanning more than 25 years.
Bono also paid tribute to The Go-Betweens co-founder Grant McLennan -- who died in May, aged 48 -- by singing a few lines of his Brisbane group's hit Streets of Your Town.
U2 are back in Australia to finish off the Vertigo world tour which was postponed in March while they were getting ready to perform in Sydney.
The band's last major concert was at River Plate Stadium in Buenos Aires in early March.
They flew on from there to Sydney but headed home without playing a show after a band member's relative became ill.
U2 play at Sydney's Telstra Stadium on Friday and Saturday nights before heading to Adelaide, Melbourne and then New Zealand.