In 1896, Korać became a member of the main committee of the Social Democratic Party of Croatia and Slavonia.
He advocated cooperation of the social democrats with bourgeoisie parties as a means of political struggle against policies of the Ban of Croatia Károly Khuen-Héderváry.
In 1918, Korać became a member of the National Council of Slovenes, Croats and Serbs – a body composed of political representatives of the South Slavs living in Austria-Hungary tasked with achieving independence of South Slavic lands from the empire.
[2] Korać was appointed the Social Policy Minister in the Government of the just established Kingdom of Serbs, Croats and Slovenes in 1918–1920.
In 1920s, Korać withdrew from politics and published the Povijest radničkog pokreta u Hrvatskoj i Slavoniji od prvih početaka do ukidanja ovih pokrajina 1922. godine ("History of the Workers' Movement in Croatia and Slavonia from its First Beginnings until the Abolition of these Provinces in 1922") in three volumes in 1929–1933.