Mikaela Shiffrin of the United States was first and Ana Swenn Larsson of Sweden third.
A year ago the 19-year-old native of Zagreb was third in the Czech resort of Špindlerův Mlýn, and until today that was the only time she made it to the winners' podium.
Ljutić did not finish the last four slaloms but on Saturday she was fourth in the giant slalom, her best career result in the event.
In the slalom ranking Schiffrin leads with 630 points, while Ljutić is 12th with 161 points. In the summary ranking Ljutić is 11th, with 338 points.