 Nyorai kuenderera mberi kweiyi ndima - Aive mumhanyi wechipiri pa2012 Eurocup Formula Renault 2.0, uye mukwikwidzi mu2012 Formula Renault 2.0 Alps Series uye 2013 GP3 Series. Akaita kutanga kwake muFormula One semutyairi weToro Rosso nekupedza 15th muWorld Championship. Akabva aenda kuRed Bull Racing kunobatana naDaniel Ricciardo mwaka wa2015. Akawana nzvimbo yake yekutanga yeFormula One mu2015 Hungarian Grand Prix, achipedza wechipiri shure kwaSebastian Vettel. Mumwaka wake wokutanga neRed Bull Racing, Kvyat akapedza 7th muDrivers Championship, mberi kwewaaitamba naye. Akatanga mwaka wa2016 neRed Bull Racing, achihwina podium yake yechipiri, achipedza wechitatu pa2016 Chinese Grand Prix. Zvisinei, zvichitevera kukakavadzana kwakapokana panguva yekutenderera kwekutanga kwemakwikwi ake epamba muSochi, Kvyat akaderedzwa kuToro Rosso pamberi pe2016 Spanish Grand Prix, kwaakapedza mwaka uye akachengetwa nechikwata mwaka unotevera. Kunyange zvazvo nguva dzose achiratidza kushanda kwakasimba mukukwanisa muna 2017, mwaka wake wakanga uchinetswa nezvinetso zvakasiyana-siyana, kusanganisira mararamiro akawanda mumakwikwi kwaaigona kunge akawana mapoinzi. Mushure me2017 United States Grand Prix, Kvyat neRed Bull vakaparadzanisa nzira, vachipedza chibvumirano chake. Kvyat akapedza 2018 semutyairi wekuvandudza weScuderia Ferrari, asati asayina zvakare neToro Rosso yemwaka. Pa2019 German Grand Prix Kvyat akawana nzvimbo yechitatu yebasa rake nekupedza wechitatu; iyi yaivewo yechipiri nzvimbo yechipiri yeScuderia Toro Rosso mushure mekunge vakunda 2008 Italian Grand Prix naSebastian Vettel. 