Queensland Police is reviewing allegations against former governor-general Peter Hollingworth.
It is understood the case involves accusations Dr Hollingworth failed to act on sexual abuse allegations against teachers and priests in the 1990s when he was the Anglican archbishop of Brisbane.
Police say they have received information about the matter and officers from the State Crime Command are investigating.
Dr Hollingworth resigned as governor-general in 2003 after an inquiry found he allowed a paedophile priest to continue working until retirement.
The 83-year-old gave evidence to the Royal Commission into Institutional Responses to Child Sexual Abuse in 2016, which included an apology to an abuse victim.