Buuxi weedha soo socota: Wuxuu kaalinta labaad ka galay Eurocup 2012 Formula Renault 2.0, wuxuuna horyaal ka noqday 2012 Formula Renault 2.0 Alps Series iyo 2013 GP3 Series. Wuxuu markii ugu horreysay ka soo muuqday Formula One isagoo ah darawal Toro Rosso isagoo ku dhammeeyay kaalinta 15aad ee Horyaalka Adduunka. Kadib wuxuu u dhaqaaqay Red Bull Racing si uu ula shaqeeyo Daniel Ricciardo xilli ciyaareedkii 2015. Waxa uu markii ugu horreysay ka soo muuqday Formula One ee 2015 ee Hungarian Grand Prix, isagoo kaalinta labaad ka galay Sebastian Vettel. Xilli ciyaareedkiisii ugu horreeyay ee Red Bull Racing, Kvyat wuxuu dhammeystirey kaalinta 7aad ee Horyaalka Wadayaasha, isagoo ka horreeya saaxiibkiis. Wuxuu bilaabay xilli ciyaareedkii 2016 ee Red Bull Racing, isagoo dhaliyay kaalintiisii labaad ee podiumka, isagoo kaalinta saddexaad ka galay 2016 Chinese Grand Prix. Si kastaba ha noqotee, ka dib markii uu isku dhacay isku dhacyo muran badan dhaliyay intii lagu jiray wareegii ugu horreeyay ee tartankiisa gurigiisa ee Sochi, Kvyat waxaa loo raray Toro Rosso ka hor Abaalmarinta Weyn ee Spain ee 2016, halkaas oo uu ku dhammeeyay xilli ciyaareedkii oo ay kooxdu sii haysatay xilli ciyaareedka soo socda. In kasta oo uu si joogto ah u muujiyay bandhigyo isreebreeb xoog leh sannadkii 2017, haddana xilli ciyaareedkiisa waxaa ku dhacay dhibaatooyin kala duwan, oo ay ku jiraan dhowr hawlgab oo tartamo ah oo uu dhibco ku heli lahaa. Kadib 2017 United States Grand Prix, Kvyat iyo Red Bull ayaa kala tagay, si wax ku ool ah u joojinaya qandaraaskiisa. Kvyat wuxuu ku qaatay 2018 darawal horumarineed Scuderia Ferrari, ka hor inta uusan dib u saxiixin Toro Rosso xilli ciyaareedkan. Sanadkii 2019 ee Jarmalka Grand Prix Kvyat wuxuu ku guuleystay kaalinta saddexaad ee xirfadiisa isagoo ku dhammeeyay kaalinta saddexaad; tani waxay sidoo kale ahayd kaalinta labaad ee Scuderia Toro Rosso ka dib markii ay ku guuleysteen
2008 abaalmarinta weyn ee Talyaaniga oo uu la qaatay Sebastian Vettel.