Korać entered into the senior Yugoslavian national basketball team in 1958, and went on to win five silver medals, and one bronze medal with them, in a total of 157 international games. He was the EuroBasket's Top Scorer 4 times (1959, 1961, 1963, 1965), and was named the MVP of EuroBasket 1961. He also won the silver medal at both the 1963 FIBA World Championship, and the 1967 FIBA World Championship.