Kilde tore down the challenging Birds of Prey course in one minute 10.73 seconds after battling flu-like symptoms to win the downhill on Saturday with an equally blistering run.
Odermatt was second, 0.20 seconds behind Kilde, and France's Alexis Pinturault (31) was third.
Kilde's win was payback after Odermatt beat him in the super-G World Cup race in Lake Louise last week.
"It was tricky, quite dark, and there were lots of places where you could do mistakes," said Kilde, who also won the downhill and super-G events on the Colorado course last year.
"I just tried to keep it going, be smart and also charge down the pitch. I tried to go clean."
Defending overall champion Odermatt still tops the standings but Kilde's super-G triumph trimmed his lead to 40 points.
"It was very fun again," Odermatt said.
"It was nice weather, a good slope, a very difficult course. It was difficult to take all the risks and go all in, (I took) a little bit less risk probably, but I'm really happy with the podium."
Suter reigns superme at Lake Louise
Switzerland's Suter won her first World Cup race this season as she clocked one minute 20.75 seconds in the super-G event in Lake Louise on Sunday after second and third place finishes in the two downhill races earlier this weekend.
Suter edged Austria's Cornelia Huetter (30) by 0.02 seconds, while Ragnhild Mowinckel (30) of Norway took third place, 0.16 seconds behind the Swiss winner.
"I knew it was a very good course that I liked after inspection. I was thinking it was faster and I just tried to do my best. It was a tight race again but today I was the lucky one," said Suter.
Favourite Sofia Goggia (30) of Italy, who won Saturday's downhill, ended up fifth 0.36 seconds off Suter.
The World Cup moves to Sestriere, Italy next weekend where the women will participate in the giant slalom and slalom.
