A total fire ban has been cancelled after stormy weather brought rain to much of the Territory on Tuesday morning.

Destination NSW's promise of a "warm country welcome" for visitors to Tibooburra has rarely rung as true, with the outback town ranked as the state's hottest place in what was the warmest year globally on record.

Thunderstorms may have drenched Sydney and other parts of the state but many parched regions of the state largely missed out.

Unseasonal rains across central Australia are helping to fill Lake Eyre and are providing some unusual recreational activities for residents of Alice Springs.

A severe weather warning with winds averaging 60 to 70km/h has been issued for the Snowy Mountains and surrounding areas.