Zeman is a director, screenwriter and animator. He is considered to be one of the founders of Czech animated films. After finishing school in France he worked in advertising and made commercial short films. He got interested in animation after meeting Elmar Kloswho worked in an animation studio in Zlin. Klos offered Zeman a job in the studio, which he accepted. He made his first short film
Vánocní sen (1946) with Hermína Týrlova and they won an award for the best animation in Cannes in 1946. His first individual project was a series of short films about the popular character that he created Mr Prokouk (1947 - 1955). His first long film was
Král Lávra (1950) and in 1952 he directed his first film in which he combined feature film elements with animation and special effects (which became one of his recognizable techniques)
Cesta do praveku (1955). Afterwards he made the acclaimed film adaptation of Jules Verne’s
A Deadly Invention (Vynalez zkazy, 1958), a film adaptation of the story about the baron of Munchausen
Baron Prásil (1961). He returned to Verne in his films
The Stolen Airship (Ukradená vzducholod, 1966) and
Na komete (1970). Between 1971 and 1974, he made seven short animated films about Sinbad, whose feature film version is called
Pohádky tisíce a jedné noci (1974). His last two films are
Carodejuv ucen (1977) and
Ivica i Marica (Pohádka o Honzíkovi a Marence, 1980).