In an event taking place in the absence of defending world champion and Olympic gold medal winner Sir Chris Hoy, who is taking a sabbatical as he weighs up his future, Britain were represented by three-time Olympic champion Kenny and Matt Crampton.
The pair were drawn in the same heat, with only two riders to progress at the first time of asking and they were squeezed out of contention, finishing fifth and third, respectively, to fall into the repechage.
There were four Keirin repechage heats, with only the first rider advancing to the second round, effectively the semi-final, from each.
Kenny and Crampton were again drawn in the same heat, meaning only one could advance.
Kenny took the initiative entering the final lap and had enough pace to hold off his challengers as Holland's Hugo Haak finished second and Crampton third. Crampton will now turn his attention to the men's sprint this weekend.