Nyorai kuenderera mberi kweiyi ndima - Kutevera kukwikwidza kwayo kukuru kwekutanga kuEuroBasket 1947, timu yenyika yeYugoslavia haina kutora nguva yakareba kuti ive mukwikwidzi pachikuva chenyika nemenduru yekutanga, sirivheri, ichiuya kuEuroBasket 1961. Zvibereko zvakakosha zvenyika zvakakunda katatu FIBA World Championships (mu1970, 1978, uye 1990), menduru yegoridhe pa 1980 Olimpiki muMoscow, kuwedzera kune shanu dzeEuropean Championships (vatatu vavo vakatevedzana 1973, 1975, uye 1977
, yakateverwa nemamwe maviri akatevedzana muna 1989 na1991). Somugumisiro we1970 FIBA World Championship kukunda, basketball yakasangana nekuwedzera kwakakura mukuzivikanwa munyika yose, zvichiita kuti zviremera zvitange kuvaka zvivako zvemitambo zvakawanda zvemukati. Dzimwe dzenhandare dzakavakwa panguva iyi dzinosanganisira: Zagreb's Dom Sportova (1972), Belgrade's Hala Pionir (1973), Baldekin Sports Hall muŠibenik (1973), Dvorana Mladosti muRijeka (1973), Hala Pinki mumasipala weBelgrade weZemun (1974), Čair Sports Center muNiš (1974), Kragujevac's Hala Jezero (1978), Morača Sports Center muTitograd (1978), Gripe Sports Center muSplit (1979), nezvimwewo.