Kuzmin's second appearance at the Olympics was in Beijing 2008 where he competed in the quadruple sculls event with Allar Raja, Vladimir Latin and Kaspar Taimsoo.

Kuzmin won his first World Championships medal in 2006 in Eton, Great Britain in the quadruple sculls event with Jämsä, Endrekson and Allar Raja.

2007 in Munich, Germany he competed in the quadruple sculls event with Raja, Vladimir Latin and Kaspar Taimsoo earning 8th position.

2009 in Poznań, Poland ha was again a part of the Estonia's quadruple sculls team, this time together with Andrei Jämsä, Tõnu Endrekson and Vladimir Latin.

2009 in Brest, Belarus he was a member of the quadruple sculls team with Valeri Prosvirin, Tõnu Endrekson and Andrei Jämsä.