By 7am on Wednesday, about 90 customers remained without power. At its peak, the storm saw nearly 6000 customers cut off, with traffic lights out and disruption to peak hour traffic on Tuesday afternoon.

Evoenergy said all available crews worked overnight, but significant repair works meant power still needed to be restored to some homes.

"We are sorry for the extended interruption for those remaining customers, however our priority this morning is to restore power as quickly as possible, while ensuring the safety of staff and the public", Evoenergy said in a statement on Wednesday.

The majority of the houses still without power were in Spence and Curtin.

Strong northwesterly winds were behind a severe weather warning and a total fire ban on Tuesday, also prompting a health warning.

"The ACT is experiencing dry conditions and strong winds, and the levels of dust particles are rising across the city reducing the air quality," the health directorate said in a statement.

"Anyone can experience symptoms from dust including the most common symptoms; burning eyes, throat and skin irritation. Some people with pre-existing breathing-related problems, such as asthma and chronic lung diseases, may experience breathing difficulties."

The dust that blanketed the city for much of the afternoon persisted into the evening despite winds dying down.

Bureau of Meteorology severe weather forecaster Jordan Notara said below average rainfall in inland Australia was to blame.

"Resulting from the strong winds inland, we've seen dust lifted and transported into the ACT region," Mr Notara said.

A plane landing at Canberra Airport on a flight from Brisbane on Tuesday afternoon had to abort its first landing attempt because of the wind.

Virgin Australia flight VA1218 circled the airport for 20 minutes before landing successfully on the second attempt, Sarah Curby, who was on board at the time, told The Canberra Times.

"We went to land, almost hit the ground and had to fly back up as it was unsafe to land. We did a circle in the air, and then came back down at a different angle," she said.

"The captain said there was a wind swirl when we tried to land the first time. He was very calm and said we were going to land again from a different direction."

The State Emergency Service said there had been 128 calls for help, most of which were for roof damage, trees and branches on roads and fallen power lines.

Downed power lines closed streets in Acton, Melba and Pearce, with emergency services on scene.

Evoenergy warned people to stay clear of fallen or low powerlines, as well as objects such as fences or trees that are in contact with them, as they could conduct electricity, and to report damage to electricity or gas infrastructure to 13 10 93 for electricity and 13 19 09 for gas.

Thredbo recorded an average wind of 94km/h gusting to 124km/h at 9.30am. In the ACT, Mount Ginini at Namadgi recorded a wind gust of 89 km/h at 3:20pm, and the airport recorded a top gust of 82km/h.

The government said people should follow these precautions in the dust storm: