 Nyorai kupfuurira kweiyi ndima - Muna 1977, iye akamhanyira Tyrrell, achityaira Tyrrell P34B ine mavhiri matanhatu. Peterson akarega kubva kumakwikwi mana okutanga a1977, akabuda muArgentina, akabatanidzwa mukuparara neMcLaren yaJochen Mass naClay Regazzonis Ensign muBrazil, uye akatambura nezvinetso zvemafuta eSouth Africa neUnited States West. Akapedza masere muSpainasi akarega basa muMonaco nemhaka yokushaya mabhureki. Nzvimbo bedzi yaPeterson yokupedzisira pachikumbaridzo yakanga iri nzvimbo yechitatu munhangemutange yaikanganiswa nemvura muBelgium. Tariro dzakanga dzakakwirira kumusha muSweden asi Peterson akarega basa nezvinetso zvokutungidza moto uye ipapo akapedza ari wechi 12 muFrance. Akanga ane kukundikana kweinjini muBritain, akapedza ari wechipfumbamwe muGermany uye akava wechishanu muAustria. Peterson akarega basa nemhaka yezvinetso zvokuvheneka muHolland, ari wechitanhatu muItaly uye ari wechigumi nenhanhatu muUnited States. Peterson akasiya makwikwi maviri okupedzisira a1977, pakabuda mafuta muCanada uye muJapan, akasangana neFerrari yaGilles Villeneuve asi kudonha kwacho kwakauraya mupurisa uye mutori wemifananidzo sezvo vakanga vakamira munharaunda inorambidzwa yenzira apo tsaona yakaitika. 