Communist Party of Slovakia
Until 1994, Ducký was a member of Communist Party of Slovakia (KSS) and through this party he became a minister in Čič's government of national understanding. Since 1994, Ducký was a member of Hnutie za demokratické Slovensko (HZDS), the political party of Vladimír Mečiar. In 1994 he was elected into the Slovak parliament on the HZDS ticket.