Born on 11th of August 1934 in Belgrade, Stojkovic was one of the most prominent and respectable actors in the history of Yugoslav cinema. He acted in more than 150 films during his life. But he began his career as a theatre actor in the 1960s. Danilo 'Bata' was one of the favorite actors of director Slobodan Sijan and scriptwriter Dusan Kovacevic..
His first role was in front of the audience on stage Yugoslav Drama Theatre , then became a permanent member of the ensemble Atelier 212 . Film career began with a roll in the movie " Traitor " from in 1964. year. Then follows a series of television and film roles , his biggest role in the movies : Beach Guard in Winter ( 1976) , The Dog Who Loved Trains (1977 ) , The Who ( 1980) , The Marathon Family , How I Was Systematically Destroyed by an Idiot (1983 ) , the Elusive Summer of 68, Balkan Spy , and many others.