There are now 178 people with COVID-19 in hospital in the Northern Territory, up from 156 on Monday, with five people in intensive care.
Thirty-three patients require oxygen, up from 29 on Monday.
The new COVID hospitalisation numbers represent a 12.5 per cent rise on the Northern Territory's previous high of 158, recorded on Sunday.
Before the latest figures the Northern Territory already had Australia's highest rate of COVID-related hospitalisations per capita.
To cope with an anticipated demand for extra critical care beds, the NT government paused elective surgeries last Friday.
On Tuesday morning Chief Minister Michael Gunner said the current pressure on the Territory's hospital system was manageable.
"We are now at that stage of the emergency where we are trying to make sure that the rate of spread is at such a pace that it falls within what our public health system can handle," he told ABC Radio Darwin.
"At the moment everything is landing within our ability to handle.
"We've still got a couple of difficult weeks to get through … we are keeping an extremely close eye on hospitalisations."
Although case numbers in the Northern Territory appear to have plateaued, he said the next week or two would be the most important for hospitalisation numbers.
"Hospital cases can have a lag [behind] actual cases," he said.
The Chief Minister said, on average, between 80 and 90 per cent of the patients with COVID in NT hospitals were Aboriginal or Torres Strait Islander people.
Mr Gunner said antiviral medication due to arrive in the country imminently could "relieve some pressure on our hospitals".
Mr Gunner said aged care and remote communities were the two "priority areas" for distribution of these medications.
The Northern Territory government announced 1,120 new coronavirus cases on Tuesday, including 28 added to Monday's tally.
Of these, 897 were positive cases from rapid antigen tests.
There were 589 cases recorded in the Top End Region, 230 in Central Australia, 79 in the East Arnhem region, 73 in the Big Rivers region, 27 in the Barkly region and 94 still under investigation.
Mr Gunner said there was one additional case recorded in Darwin's Don Dale youth detention facility overnight, bringing an outbreak in the facility to 10.
The number of active cases in the Northern Territory is about 7,400.
