The team of Winston Watts and Marvin Dixon had a combined time of 1 minute 57.23 seconds, almost five seconds behind the Russian pair of Alexander Zubkov and Alexey Voevoda who clocked 1:52.82.
The Russians are ahead of second-placed Beat Hefti and Alex Baumann of Sweden in 1:53.14.
Americans Steven Holcomb and Steven Langton are in third position.
This season’s World Cup winner Holcomb, who also won the 2010 gold medal in the four-man event, was just 0.09sec behind Zubkov after the first attempt but finished third with a time of 1:53.18.
The Jamaicans will enter the third and final heat on Monday.
Jamaica made its debut at the Olympic Winter Games in 1988 in Calgary when a team made up of track sprinters was entered in the men’s four-man bobsleigh competition.