Under the Emergency Management Act, NT Police can force residents to evacuate, to assist in saving of life or property, to order businesses, public spaces and roads open or closed, and to use reasonable force if required.
On Saturday, 58 people, including emergency services personnel and the Red Cross, were sent to to the four communities.
Power is being progressively restored, along with water and sewerage services.
Kershaw said recovery efforts were focused on Galiwinku and Milingimbi.
About 40 houses in Galiwinku were significantly damaged, with smashed windows and roofs, and another six were totally destroyed.
"Lots of trees are down across power lines and roads, and there's some minor water damage," Kershaw said.
Given the force of the cyclone, with winds reaching 260km/h, it was remarkable there had been no major injuries or any loss of life.
A total of 87 residents of Warruwi on Goulburn Island were flown home yesterday after being evacuated on Thursday before Lam hit.
The rest of the 426-person community is still being housed in a pavilion at the Darwin Showgrounds, Kershaw said.
— AAP
