Nyorai kupfuurira kweiyi ndima - Tyrrell akanga ane mutoro wokuwana Jackie Stewart, uyo waakakwereta kumhanya nokuda kwechikwata chake cheFormula Junior, pashure pomuedzo muna 1963. Pamwe chete nechiverengero chakati chezviedza zviduku, akabvumirawo Jody Scheckter uye mujaho wemidhudhudhu ace John Surtees. Kuziva kukosha kweCosworth DFV itsva, pashure pokukunda kweLotus paZandvoort
mukutanga kwayo muna 1967, nerubatsiro rwemari kubva kuna Elf, Dunlop naFord, Tyrrell akawana kurota kwake kwekuenda kuFormula 1 muna 1968, semukuru wechikwata cheMatra International, mubatanidzwa wakasimbiswa pakati pechikwata chaTyrrell pachake uye mugadziri wemotokari weFrance Matra. Akanyengetedza Matra kuti DFV yaive inishuwarenzi yakanaka kupokana nekutadza kweMatra's V12 uye nekudaro Matra MS10 yaive mhedzisiro.