Born in the village of Podum near Otočac (nowadays in Croatia), in addition to basketball, Ćurčić also pursued skiing.
Ćurčić played for two Belgrade teams Crvena zvezda and Partizan in the Yugoslav First League, as well as for Pallacanestro Cantù in Italy for two seasons.
In July 1950, he was a member of the Zvezda squad that won an international cup tournament in Milan, Italy.
[1] Ćurčić was a member of the Yugoslavia national basketball team that participated at the 1953 European Championship in Moscow, the Soviet Union.
[2] Ćurčić was a member of the national team at the 1954 FIBA World Championship in Rio de Janeiro, Brazil.