Super-G skiers have poles that are curved to fit around the body to reduce air resistance.
Vonn has been sidelined for the season after a nasty fall in super-G at the world championships.
Elsewhere, Aksel Lund Svindal of Norway won the men's World Cup super-G title with victory at Kvitfjell.
For the Super-G, men's skis must be at least 205cm long, and women's skis at least 200cm long.
Ligety has stepped into the breach after the super-G crash which left fellow American Lindsey Vonn with season-ending injuries.
The company began shipping Super-G, a supercooled 1-GHz computer, on December 1, 1999.
Maze has already secured the overall and giant slalom titles and now leads in the slalom and the super-G disciplines.
Meanwhile, Austria's Anna Fenninger claimed her second World Cup win of the season Sunday by claiming victory in the Super-G.
More super-G racers are disqualified for missing a gate than in downhill because of the speed and frequency of turns.
World Cup leader Tina Maze won gold in Tuesday's super-G ahead of Lara Gut of Switzerland and third-placed American Julia Mancuso.
And with Sochi on the horizon, U.S. teammate Ted Ligety, who won the men's super-G Wednesday also offered Vonn his support.
Meanwhile, Svindal missed out on his third medal of the championships after taking gold in the downhill and bronze in the super-G.
The super-G is held on a shorter course with more gates, which require more turns and therefore makes the event slightly slower.
Vonn wrote in a special column published in The Denver Post that the women's super-G runs might be postponed Tuesday because of weather.
Vonn, who won women's downhill gold and bronze in super-G, competed despite a fractured finger but her Games came to an early end.
Svindal's victory makes him just the seventh man in the sport's history to win the downhill and super-G titles in the same season.
Maze also won the super-G gold at the recent world championships in Schladming in Austria and claimed two silvers in the super-combined and giant slalom.
Finland's Tanja Poutianen finished fourth while Slovakia's Tina Maze -- who took gold in the Super-G and silver in the Giant Slalom -- finished fifth.
Ligety, who had won gold in the Super-G, super-combined and giant slalom, was the first man to achieve such a feat since Claude Killy in 1968.
The city is flanked by two massive ski resorts, Powder Mountain and Snowbasin which hosted the downhill, combined, and super-G races during the 2002 Winter Olympics.
Maze admitted it had been a difficult day, although she did take consolation from her second run as she added to her gold in the super-G race and silver in the super-combined.
Home fans had to make do with fourth place as Klaus Kroll was the top Austrian finisher, with 2011 super-G runnerup Hannes Reichelt skiing out in the first of the two runs.
The fact that she had done so well in the super-G, which was even less her discipline than the giant slalom, made me think that we were about to witness something pretty special.
Vonn was expected to lead the U.S. medal charge in Austria, but Ligety took the men's super-G title to compensate for her early exit -- his first ever major victory in that discipline.
The flamboyant U.S star has been in superb form at the Vancouver Winter Games and his victory completes a full set of medals, after he claimed silver in the super-G and bronze in the downhill.
Mancuso won the fifth world championship medal of her career, and her third in the super-G discipline -- one of two "speed events" along with the downhill, compared to the "technical" slalom and giant slalom races.
Super-G gold medalist Norway's Aksel Lund Svindal, quickest on the downhill, slid out near the finish to spark scenes of wild celebration as Miller realized the gold was his after drawing blank in the 2006 Winter Games in Turin.
Vonn's shocking crash in the super-G at the world championships -- she was airlifted off the piste after sustaining a serious knee injury -- tempered Maze's subsequent triumph, and the Slovenian's look of horror and concern for her rival was only too evident.
Shiffrin's victory is the U.S.'s fourth of the championships -- adding to Ted Ligety's wins in the Super-G, the Giant Slalom and the Super Combined -- and consolidates their place at the top of the medal's table with a total of four gold and one bronze.
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