At 3:30pm ex-Tropical Cyclone Grant was located over land about 187 kilometres east of Darwin. It is currently moving south, but is expected to turn towards the east and move across the Top End towards the Gulf of Carpentaria over the next day or so.
Damaging wind gusts up to 100km/h are expected within 120 km of the centre during tonight and Tuesday.
Heavy rain currently falling over the Darwin-Daly and Arnhem Districts may lead to localised flooding. Rain and damaging winds are expected to ease over the western Top End during Tuesday.
The Northern Territory Emergency Service advises that people should secure loose outside objects and seek shelter when the conditions deteriorate. Driving conditions may be hazardous - avoid flooded roads and watercourses.
The next warning is due to be issued by 11pm Monday.