He was born in the capital of Cuba - Havana, where his parents worked at the time. At an early age, Viacheslav and his parents returned to their homeland and began to live in Kyiv.
At the age of seven, Kernozenko entered the school of Kyiv's "Dynamo", where he studied in a group of children born in 1976 under the leadership of Oleksandr Shpakov together with Andrii Shevchenko, Igor Kostyuk, Volodymyr Anikeev, and others.
In 1993 he joined "Dynamo", but played only for "Dynamo-2" in the First League, where he was the team's main goalkeeper most of the time.
In the summer of 1997, at the end of the championship, when the "white and blues" won the championship three rounds before the end, the head coach Valerii Lobanovskyi gave the young players a chance to prove themselves and on June 15, 1997 Kernozenko made his debut for "Dynamo" in an away match. "Metalurh" in Zaporizhzhia. The game ended without goals, and Viacheslav spent the whole match on the field.
The next time Viacheslav had a chance in 2000, when Shovkovsky suffered a knee injury. Because of this, in the 1999/00 season he played for the main team in 15 matches in the championship and 3 in the Cup of Ukraine, but after the recovery of Oleksandr again lost his place in the base.
Despite his unstable performances for Kyiv, Kernozenko won four championships during this time, and also won the Cup of Ukraine three times. And as a member of the second team he became the winner of the First League three times.
In the summer of 2001, after the championship, the first team of "Dynamo" was sent on vacation, but Kernozenko still stayed and played a couple of games for the second team. After that, Viacheslav received a lease offer to "CSKA" Kyiv, which at that time was headed by Volodymyr Bezsonov.
Pavlo Blazhaev, Roman Bairashevskyi and Mykola Zbarakh became Kernozenko's competitors in the new club, but Viacheslav easily won the competition, playing all games without substitutions, including the championship, cup and European Cups. In December 2001, the change - "CSKA " was transformed into "Arsenal" and Kernozenko became the goalkeeper of the "gunners".
In July 2002, the team was led by Viacheslav Hroznyi, who immediately carried out a personnel purge in the team and only a few players from last year's "Arsenal", including Kernozenko, who signed a full contract with the club. That season, "Arsenal" and Viacheslav fought for European Cups throughout the championship, but losing to "Shakhtar" in the last round in Donetsk, "the gunners" allowed rivals "Metalurh" Donetsk and "Dnipro" to bypass Kyiv.
However, the team started the next championship very badly. In the first round, the "gunners" lost to the debutant - Kirovohrad "Zirka. And in the first 5 matches, Kyiv lost 4 and won only in the derby with "Obolon". Due to a conflict with the team's head coach Viacheslav Hroznyi, he lost his place in the team and later moved to a new team.
In early 2004, he signed a contract with Dnipropetrovsk's "Dnipro", where he immediately won the competition with the experienced Mykola Medin. The team regularly fought for high places in the championship, played in European Cups, and Kernozenko from "Dnipro" was often called up to the national team of Ukraine.
In the 2005/06 season, Viacheslav was injured and had to miss half of the matches. Recovering from injury, Kernozenko again became the main goalkeeper of "Dnipro", and played steadily until the 2008/09 season.
On August 10, 2009 he transferred on lease to Kryvyi Rih's "Kryvbas", where he spent six months. On January 1, 2010, the player's contract with Dnipropetrovsk's "Dnipro" expired and he has since become a free agent. He later watched a club, but was injured and decided to end his playing career and prepare for coaching.
In 1994 he played for the youth national team of Ukraine U-18.
In 1996-1997 he was involved in the youth national team of Ukraine, having played 8 games for it, in which he missed 4 goals.
In 1997 he was called up to the national team of Ukraine. On May 31, 2000, he made his national team debut in a friendly match against England at "Wembley". Viacheslav spent 85 minutes on the field.
On September 2, 2000, he played for the second time in the national team's T-shirt in the qualifying match for the 2002 World Cup against the Polish national team. In the 57th minute Viacheslav parried a penalty from Andrzej Yuskowiak, but the match ended in a 1: 3 defeat.
Kernozenko's next call-up to the national team came in 2005, and he played only in the summer of 2006 against the national team of Azerbaijan, and in the spring of 2008 he played the last two more matches for the national team. In total, he played 5 games for the national team, conceding 8 goals.
Shortly after the end of his playing career, in the spring of 2010, he began coaching, working with young goalkeepers in the Kyiv CYFS  "Dynamo" n.a. Valerii Lobanovsky .
In the summer of 2011 he moved to Kazakhstan, where as a goalkeeping coach he joined the coaching staff of the club "Vostok" from Ust-Kamenogorsk.
In June 2012, Kernozenko was appointed assistant coach to work with goalkeepers in "Sevastopol".
In August 2014, he coached the goalkeepers of the U-19 "Dnipro" team, and in August 2016, he headed this team.
Since 2017 he has been the goalkeeper coach at "Kolos" in Kovalivka.
 
In 2019, working in the headquarters of the head coach of the national team of Ukraine under 20 Oleksandr Petrakov, he became the winner of the World Youth Championship
Achievements:
Champion of Ukraine: 1996/1997, 1997/1998, 1998/1999, 1999/2000
Bronze medalist of the championship of Ukraine: 2003/2004
Winner of the Cup of Ukraine: 1997/1998, 1998/1999, 1999/2000
Finalist of the Cup of Ukraine: 2003/2004
Winner of the First League: 1998/99, 1999/2000 and 2000/01
Goalkeeper of the year in Ukraine: 2007
In the list of 33 best football players in Ukraine: 2007, 2004, 2006
Club member Yevhen Rudakov: 113 matches without conceded goals
Honorary title Honored Worker of Physical Culture and Sports of Ukraine: 2019
Master of Sports of Ukraine: 1996
Master of Sports of Ukraine of international class: 2005
Medal "For work and victory": 2006
Winner of the U-20 World Cup as the coach of the goalkeepers of the youth national team of Ukraine: 2020