"It was very emotional," Gisin said. "They did so much for me; my whole family did. This is just very nice to share it with them."
At the 1992 Albertville Olympics, Diann Roffe of the United States and Anita Wachter of Austria both took silver behind Pernilla Wiberg of Sweden. At the 1964 Innsbruck Olympics, Christine Goitschel of France and Jean Saubert of the United States were second to gold medalist Marielle Goitschel of France.
On Wednesday, prerace favorites Mancuso and Maria Hoefl-Riesch of Germany slipped out of contention, racing after Gisin.
Hoefl-Riesch, who sought a record-equaling fourth Olympic Alpine gold, was 1.17 back in 13th place.
"I really thought Tina could do it," Mancuso said. "She almost did the same thing that I did on the bottom, but she was going a little faster, so I think she pulled it off."
Mancuso had been fastest in the downhill portion of the super-combined on Monday, in which she finished third and Hoefl-Riesch won.
"It's tough and really difficult to stay focused on the whole run, but that's what separates the champions from the rest of us on race day," Mancuso said of the course.
That day, Gut had been second-fastest in downhill before letting a medal slip by skiing out in slalom.
On Wednesday, Gut was in tears again, seemingly unable to understand how her speed -- clocking 64.9 mph (104.4 kph) -- did not translate to a faster time.
Gut placed her hands on her bowed head and looked exasperated before walking over to hug her winning teammate.
"It's cool to win a bronze, but when you know you can do more, at the beginning I think it's normal to be a bit disappointed," Gut said.
In a nasty crash, No. 4 starter Marie Marchand-Arvier of France slid back-first into safety fencing after losing her balance over a jump. She did not appear to be seriously hurt.
The Associated Press contributed to this report.