Latvia's Oskars Melbardis led his team to victory in a time of two minutes 9.52 seconds.
Alexander Zubkov of Russia was second with his crew and remains second in the overall standings behind Germany's Maximilian Arndt, who came third in St Moritz.
Arndt leads the standings with 1,238 points from Zubkov (1132) and Chris Spring of Canada (1096), while Jackson is down in 11th on 818 points.
Nick Cunningham's USA team were disqualified after they suffered a crash towards the end of their second run and finished in last place.
Great Britain's John Jackson led his four-man bobsleigh contingent to another top-ten World Cup finish. Jackson, Stuart Benson, Bruce Tasker and Joel Fearon produced a combined time of 2:10.45.