Kocsis made his debut for the senior Hungary team in 1948. Together with Ferenc Puskás, Zoltán Czibor, József Bozsik and Nándor Hidegkuti, he formed the offensive nucleus of the Golden Team that went unbeaten for 32 consecutive games. The Hungarian national team suffered no defeats in Class-A international matches between 4 June 1950 and 4 July 1954, in the 1954 FIFA World Cup Final.