Another 250 guests who have left the hotel since 30 December will be contacted and told to isolate while they're tested.
"What we are dealing with here is something that we've never had to deal with before," Ms Palaszczuk told reporters on Wednesday.
"This is a new highly infectious strain. We do not want to see this getting out into the community and that's why we have taken these precautionary steps today in the interests of the public safety."
Chief Health Officer Jeannette Young said authorities still hadn't worked out how a cleaner at the hotel initially contracted the virus from a man in quarantine who had returned from the UK.
The woman's later movements in Brisbane triggered a three-day lockdown of the entire city and outlying areas on the weekend.
Dr Young said all defence force, police and maritime safety staff who were posted at the hotel were being contacted, including those who may have left Australia.
"We've immediately worked through the night to sort all that and have that process start first thing this morning, so it's in place," she said.
"So we need to just find all those people and test them."
The total number of active cases in Queensland is 26.
People in Australia must stay at least 1.5 metres away from others. Check your jurisdiction's restrictions on gathering limits.
If you are experiencing cold or flu symptoms, stay home and arrange a test by calling your doctor or contact the Coronavirus Health Information Hotline on 1800 020 080. News and information is available in 63 languages at sbs.com.au/coronavirus.
Please check the relevant guidelines for your state or territory: NSW, Victoria, Queensland, Western Australia, South Australia, Northern Territory, ACT, Tasmania.