But the day was marred by a serious-looking crash for Marc Gisin as the Swiss stretchered off the mountain after a 30-minute delay, Eurosport reported.
Kilde's dominant run of 1:56.13 claimed just the third World Cup win of the Norwegian's career and first since February 2016.
The Norwegian was 0.86seconds ahead of Austria's Max Franz – the latter doing enough however to go back on top of the overall World Cup standings.
Third on the day was Beat Feuz of Switzerland, 0.92 seconds down on Kilde – whose previous best finish this season was a third in the Super G at Beaver Creek.
Kilde's compatriot and previously the overall leader Aksel Lund Svindal had to follow Gisin down the mountain and could only manage a seventh-place finish.
Gisin lost control of his skis and was thrown high in the air just before the feared 'camel hump' on the Saslong slope, sliding along the piste before finishing on his back.
The race was interrupted as doctors treated an unconscious Gisin who was later transported by helicopter to hospital.