Tuhia he tomokanga mō tēnei wāhanga - I te tau 1959, i whiwhi a Cooper i ngā pūkaha 2.5-ra mō te wā tuatahi, ā, i whakamahia pai e Brabham te mana tāpiri mā te wikitōria i tana whakataetae toa o te ao tuatahi i te whakataetae Monaco Grand Prix i te wā whakatuwheratanga i muri i te hinganga o te Ferrari a Jean Behra me te Cooper a Stirling Moss. He maha ake nga waahi i whai ake i te wikitoria i te British Grand Prix
i Aintree i muri i te tiaki a Brabham i ana taera ki te mutunga o te whakataetae, i taea ai e ia te whakaoti i mua i a Moss i tika ai kia eke ki te poka hei whakakapi i nga taera kua pau. I hoatu e tenei ki a ia he tohu 13 mo te toa me nga whakataetae e wha ki te haere. I te Portuguese Grand Prix i Monsanto Park, i whai a Brabham i te kaiarahi o te whakataetae a Moss i te wa i neke atu ai tetahi kaitautoko ki a ia ka tukuna te Cooper ki te rangi. Ko te waka rererangi i pa ki tetahi pou waea, ka maka atu a Brabham ki runga i te ara, i te wa i karo ai ia i tetahi o ana hoa kapa engari i mawhiti me te kore kino kino. E rua nga wikitoria ia, Brabham, Moss, me Tony Brooks o Ferrari i kaha katoa ki te wikitoria i te toa i te huihuinga whakamutunga o te waa, te United States Grand Prix i Sebring. Ko Brabham tētahi o te hunga i mahi tae noa ki te 1 i te ata i mua i te whakataetae e mahi ana i ngā motokā o te kapa Cooper. I te ra i muri mai, i muri i tana haere i muri i a Moss, nana nei i reti me te pouaka nekeneke kua pakaru, i arahi ia ki te mutunga o te whakataetae i mua i te mutunga o te wahie i te huringa whakamutunga. I akiaki ano ia i te motuka ki te raina mutunga kia eke ki te tuawha, ahakoa i roto i te kaupapa kaore i tika tenei na te mea ko tana hoa whakataetae taitara, ko Brooks, i mutu i te tuatoru. E whā ngā piro i riro i a ia te toa toa i a Brooks. E ai ki a Gerald Donaldson, "i whakaaro etahi [tona taitara] he mea nui ake ki te hianga atu i te pukenga, he whakaaro i runga i te waahanga o te noho humarie a Brabham".