Premier Annastacia Palaszczuk says the new cases emerged after 10,870 tests in the 24 hours to 6.30am AEST on Wednesday.
One is a Gold Coast resident who lives at Pacific Pines and has been infectious in the community for up to six days.
"So we need to make sure there are no other cases on the Gold Coast," Ms Palaszczuk told reporters on Wednesday.
"So now I'm saying to Gold Coast residents and families, if you are not vaccinated, go and get vaccinated, if you have any symptoms, please go and get tested."
Another case is in southern town of Warwick who's linked to the outbreak in the NSW border town of Goondiwindi, and has been infectious in the community for 10 days.
The third local case is a person who arrived on a flight from Melbourne and tested positive in hotel quarantine.
AAP with The Project