The storm is expected to strengthen, with winds of up to 130mph, the National Hurricane Center said.
In Alaska, the wind gusts from the storm could reach up to 140mph and gusts could reach 120mph.
The storm is forecast to move through the Arctic and the coast of the US this weekend, and could continue for several days.
On Sunday, the weather bureau in Anchorage predicted a chance of winds of 125mph or greater in the Anchorage area, with gusts up to 120mph in the city of Cheyenne.
There are also some warning signs of an intensification of the storm.
It is expected that storm surge from the hurricane is expected in Anchorage.
If you see any flash flooding or heavy rain, seek shelter.
It is possible to drive through some flash flooding.
More on the storm: