His works were acknowledged early during his studies, and were published in student magazines Student (1982) and 'Vidici (1982).
In early 1980s he worked as a science fiction and fantasy illustrator. His illustrations were published on the covers of novels of "Znak Sagite" imprint, science fiction and fantasy filmanac "Monolit" and magazine "Alef", later in Politikin Zabavnik.
His career shifted to artwork for children, in magazines "Tik-Tak" and "Zeka" (1987–1998). He created the children's comic strip Jajzi, that ran in "Tik-Tak".[1] His true breakthrough came as he became a regular illustrator for "Politikin zabavnik".
In the late 1990s Živković was Art Director and premier illustrator of Saatchi & Saatchi offices in Serbia and Slovenia. He continues working in advertising business as well as a freelancer illustrator.
He is a promoter of environment awareness, children's rights, and often draws for humanitarian non-profits.
Most of his work in the last two decades was for Creative Centre publishing house (more than hundred books, translated into over 40 languages).
