Two men missing in a boat adrift in Moreton Bay in south-east Queensland have been found safe.

Authorities say the pair were located about a nautical mile off Bribie Island earlier this morning.

Police say the pair contacted Volunteer Marine Rescue about 3:30pm (AEST) yesterday to report they had a flat battery between Moreton Island and Redcliffe.

A search failed to find them last night.

Officers yesterday located their trailer and vehicle at Sandstone Point.