Iceland will make their first appearance at a World Cup finals next summer after winning their qualification group.
Ukraine and Croatia were locked at 0-0 in a battle for the one play-off spot when Andrej Kramaric converted a Luka Modric pass.
Eight minutes after putting Croatia ahead, Kramaric doubled his tally for the evening in Kiev when he scored after being played through by Ivan Rakitic.
More to follow
Gylfi Sigurdsson celebrates after his goal put Iceland into the lead against Kosovo