The American World Cup champion passed the mark of 1,970 points set by Croatia's Janica Kostelic in 2006.
Vonn has one more race, Sunday's giant slalom on the same course, to improve her total and aim at the men's record of 2,000 points set by Austria's Hermann Maier in 2000.
Twelfth place in the last race of the winter would be enough for the American to break the 2,000-points barrier.
"I was not sure about doing the slalom, I wanted to save strength for the GS," said Vonn. "But I'm glad I did it as it means less pressure and nervousness tomorrow."
Saturday's race victory went to Austria's Michaela Kirchgasser, who clocked a combined time of one minute 32.57 seconds to win her second slalom of the season after Kranjska Gora in January.
"To win a slalom in Austria and to finish second behind Marlies (Schild) in the slalom World Cup is a dream come true and a great boost for next year's world championships here," said Kirchgasser.
Veronika Zuzulova, fastest in the first leg, missed out on her first World Cup victory yet again, by 0.12 seconds. In eight seasons on the circuit, the Slovakian has earned 13 podium placings but no wins.
World champion Schild, already crowned in the discipline's World Cup for the season, was third, 0.51 seconds adrift, but the Austrian will now have to wait until next season to try to equal the record of 34 slalom wins held by Swiss Vreni Schneider.