Kuznetsov played for Russia at the 2010 World Junior Ice Hockey Championships held in Saskatchewan, Canada.
He finished the tournament with two goals and was selected as the player of the game for Russia after the preliminary round game against Austria.

Kuznetsov again represented Russia in the 2011 World Junior Championships in Buffalo, New York.
He was the only 18-year-old on the Russian team; every other player was 19.
He finished second in the tournament in scoring, with four goals and seven assists in seven games.
He also had three assists in the gold medal game, in which Russia overcame a 3–0 deficit in the third period against Canada to win 5–3.
Kuznetsov was named by the tournament coaches as one of the three best players on his team, and was named to the tournament all-star team by the media.
He was also named the best player in the match against Norway, in which he recorded one goal and one assist.
He finished tied for second in the tournament in scoring, alongside teammate Vladimir Tarasenko, with four goals and seven assists.

Kuznetsov then served as team captain for Russia at the 2012 World Junior Championships, the third year in a row he participated in the tournament.
On 29 December 2011, in a game against Latvia, Kuznetsov recorded three goals and six assists for nine points in an emphatic 14–0 win for Russia.
This set a record for most points by a Russian player at the World Juniors, as well as the second-highest total in a game in the history of the tournament, one point behind Peter Forsberg of Sweden, who set the record in 1993.

On 23 August 2019, the IIHF announced that it had suspended Kuznetsov for four years after testing positive for cocaine use, retroactive to 13 June 2019.
He was stripped of his 2019 World Championship bronze medal as a result.
Kuznetsov played for Russia at the 2010 World Junior Ice Hockey Championships held in Saskatchewan, Canada. He finished the tournament with two goals and was selected as the player of the game for Russia after the preliminary round game against Austria.
Kuznetsov again represented Russia in the 2011 World Junior Championships in Buffalo, New York. He was the only 18-year-old on the Russian team; every other player was 19. He finished second in the tournament in scoring, with four goals and seven assists in seven games. He also had three assists in the gold medal game, in which Russia overcame a 3–0 deficit in the third period against Canada to win 5–3. Kuznetsov was named by the tournament coaches as one of the three best players on his team, and was named to the tournament all-star team by the media. He was also named the best player in the match against Norway, in which he recorded one goal and one assist. He finished tied for second in the tournament in scoring, alongside teammate Vladimir Tarasenko, with four goals and seven assists.
Kuznetsov then served as team captain for Russia at the 2012 World Junior Championships, the third year in a row he participated in the tournament. On 29 December 2011, in a game against Latvia, Kuznetsov recorded three goals and six assists for nine points in an emphatic 14–0 win for Russia. This set a record for most points by a Russian player at the World Juniors, as well as the second-highest total in a game in the history of the tournament, one point behind Peter Forsberg of Sweden, who set the record in 1993.
On 23 August 2019, the IIHF announced that it had suspended Kuznetsov for four years after testing positive for cocaine use, retroactive to 13 June 2019. He was stripped of his 2019 World Championship bronze medal as a result.
Evgeny Kuznetsov