 Ramba uchiverenga ndima ino - Muna 1968, George Hamilton akava murairidzi mutsva sezvo Jamaica yakaedza kukwanisa kuenda kumakwikwi eFIFA World Cup muna 1970 muMexico. Vazhinji vechikwata chemushandirapamwe uyu vaive vadiki nevatambi vashoma chete vakasara kubva mukuyedza kwayo kwekutanga kukodzera kuve muchikwata. Izvi zvaikonzerwa nokuti vatambi vayo vakawanda vakanga vasiya basa kana kuti vakatamira kune dzimwe nyika. Jamaica yakapedza yapera isina mapoinzi mumitambo mina. Mushure mekupedza kwekupedzisira mu1969 CONCACAF Championship uye vasina kukodzera kumakwikwi anotevera, Jamaica yaifanira kubvisa kubva pakukodzera 1973 CONCACAF Championshippashure pokunge vatambi 17 vamiswa basa nokuda kwokuzvibata kusina kunaka mukati merwendo rwokuBermuda. Muna 1977, Jamaica yakakwikwidza mukukwikwidza kwe1977 CONCACAF Championship, iyo yaivewo mukwikwidzi we1978 FIFA World Cup. Vachirwisa Cuba mumutambo wokutanga, Jamaica yakarasikirwa nemitambo yayo miviri 51 pahuwandu. 