Kammala wannan jumla: A 1959, Cooper ya sami injunan 2.5-lita a karon farko kuma Brabham ya yi amfani da karin iko ta hanyar cin nasararsa na farko a gasar cin kofin duniya a gasar Monaco Grand Prix bayan Ferrari na Jean Behra da Stirling Moss's Cooper sun kasa. Ƙarin wuraren podium sun biyo bayan nasara a cikin
Grand Prix na Burtaniya a Aintree bayan Brabham ya adana tayoyinsa har zuwa ƙarshen tseren, yana ba shi damar gamawa a gaban Moss wanda dole ne ya shiga rami don maye gurbin tayoyin da suka lalace. Wannan ya ba shi jagorancin maki 13 a gasar tare da tsere huɗu don tafiya. A gasar Portuguese Grand Prix a Monsanto Park, Brabham yana bin jagoran tseren Moss lokacin da wani mai baya ya motsa shi kuma ya kaddamar da Cooper a cikin iska. Motar da ke cikin iska ta buga sandar telegraph, ta jefa Brabham a kan hanya, inda ya kauce wa ɗayan abokan aikinsa amma ya tsere ba tare da wata mummunar rauni ba. Tare da nasara biyu kowannensu, Brabham, Moss, da Ferrari's Tony Brooks duk sun sami damar lashe gasar a wasan karshe na kakar, United States Grand Prix a Sebring. Brabham yana daga cikin wadanda suka tashi har zuwa karfe 1 na safe kafin tseren da ke aiki a kan motocin ƙungiyar Cooper. Kashegari, bayan ya bi Moss, wanda ba da daɗewa ba ya yi ritaya tare da akwatin gearbox, ya jagoranci kusan zuwa ƙarshen tseren kafin ya ƙare man fetur a zagaye na ƙarshe. Ya sake tura motar zuwa layin gamawa don zama na huɗu, kodayake a yayin da wannan ba lallai ba ne kamar yadda sauran abokan hamayyarsa, Brooks, suka gama na uku kawai. Gasar da ya lashe a kan Brooks maki hudu ne. A cewar Gerald Donaldson, "wasu suna tunanin [sunansa] ya fi bashi ga ɓoyewa fiye da fasaha, ra'ayi aƙalla a wani ɓangare bisa ga kasancewar Brabham".