Students and non-essential Northern Territory public servants have been told to stay home as the clean-up from Tropical Cyclone Marcus continues.

Public schools will be closed on Monday and parents of students attending non- government schools have been told to contact their schools directly for updates.

Cyclone Marcus is expected to dump more rain on the Kimberley.

As well, the Casuarina, Waterfront and Palmerston campuses of Charles Darwin University also remain closed.

"In the interest of safety, all non-essential government employees are to remain at home," the NT government said in a statement on Monday.