The decision was made to stop those in Greater Sydney from entering Queensland without undergoing hotel quarantine.
The second Sydney cluster that has emerged has triggered no further decisions but Ms D’Ath said they were monitoring the cluster.
“We are watching the situation in New South Wales very closely,” she said.
“Queensland’s chief health officer is in constant contact with her NSW counterparts and receives regular updates on the growing COVID outbreaks in that state.
“Queensland has strong border measures in place in response to the Sydney clusters, based on expert health advice.
“We’ll continue to follow the advice of our Chief Health Officer and will always act to keep Queenslanders safe.”
Queensland recorded two new new coronavirus cases, but both are returned overseas travellers who tested positive in hotel quarantine.
There are 11 active cases and the state’s testing rates also increased, with 4918 tests conducted on Tuesday after a four-day slump.
There were less than 2500 tests completed on Monday, just over 3000 on Sunday, and less than 2000 on Boxing Day and Christmas Day.
Christmas Eve was the last time the state exceeded 4500 tests during a 24-hour period, when 5205 tests were conducted.
On Tuesday, Australia recorded its first case of the more contagious South African variant of the coronavirus after a returned overseas traveller in Queensland hotel quarantine tested positive.
Ms D’Ath also revealed on Tuesday COVID-19 fragments were detected in Greater Brisbane wastewater facilities at Victoria Point, Oxley Creek, Goodna, Fairfield and Redcliffe during sewage testing.
In an update on Tuesday, Chief Superintendent Mark Wheeler said more than 543,000 border declaration passes had already been issued to those wanting to cross the border.
More than 300 vehicles had been turned around.
Ten people have also been issued $4003 fines for giving false information.
Five of these, holidaymakers from Greater Sydney allegedly bound for north Queensland, were later tracked down at their Gold Coast unit and placed into hotel quarantine by police.
Jocelyn Garcia is a journalist at the Brisbane Times, covering breaking news.
Toby Crockford is a breaking news reporter at the Brisbane Times