He was runner-up at the 2012 Eurocup Formula Renault 2.0, and a champion in 2012 Formula Renault 2.0 Alps Series and 2013 GP3 Series. He made his debut in Formula One as a Toro Rosso driver in finishing 15th in the World Championship. He then moved on to Red Bull Racing to partner Daniel Ricciardo for the 2015 season. He scored his first Formula One podium finish at the 2015 Hungarian Grand Prix, finishing second behind Sebastian Vettel. In his first season with Red Bull Racing, Kvyat finished 7th in the Drivers' Championship, ahead of his teammate. He started the 2016 season with Red Bull Racing, scoring his second podium, finishing third at the 2016 Chinese Grand Prix. However, following a controversial collision during the opening lap of his home race in Sochi, Kvyat was demoted to Toro Rosso ahead of the 2016 Spanish Grand Prix, where he finished the season and was retained by the team for the next season. Although consistently demonstrating solid qualifying performances in 2017, his season was plagued by various problems, including several retirements in races where he could have scored points. After the 2017 United States Grand Prix, Kvyat and Red Bull parted ways, effectively terminating his contract. Kvyat spent 2018 as a development driver for Scuderia Ferrari, before being re-signed by Toro Rosso for the season. At the 2019 German Grand Prix Kvyat claimed the third podium of his career by finishing third; this was also Scuderia Toro Rosso's second podium finish after they won the 2008 Italian Grand Prix with Sebastian Vettel.