Czibor made his debut for the senior Hungary team in 1949. He went on to play 43 times for Hungary and scored 17 goals. Together with Ferenc Puskás, Sándor Kocsis, József Bozsik and Nándor Hidegkuti, he formed the nucleus of the Golden Team that went unbeaten for 32 consecutive games. During this run they became Olympic Champions in 1952, beating Yugoslavia in the Helsinki final with Czibor scoring in a 2–0 win. They also beat England twice, winning 6–3 at Wembley Stadium and then in 7–1 in 1954. In 1953 they also won the Central European International Cup. The run came to an end in the 1954 World Cup Final when they lost 3–2 to Germany although Czibor scored once more in a final.