Katić debuted in movie Nije lako sa muškarcima when she was 14 years old. Branka was a student of the Academy of Dramatic Art, and received instruction from actor Rade Šerbedžija..
She appeared in theater in Subotica, Novi Sad and Belgrade. Her film appearances include Black Cat, White Cat, Im Juli and Public Enemies. Her television work includes playing: Tatiana Taylor, second wife of Barry Taylor in Auf Wiedersehen, Pet; Ana, Bill Henrickson's briefly considered candidate for his fourth wife on the HBO series Big Love; Charlotte Kaletta in the TV miniseries Anne Frank: The Whole Story; Nika Marx, the producer's wife in the episode "The Prince's Bride" of Entourage; and as a prostitute in an episode of The Vice.
Katic is married to British film and television director Julian Farino. They have two sons: Louis and Joe.
Branka Katic was born and raised in Belgrade, Serbia. She has been working in films since the age of 14, when she responded to an open audition advertised in the newspaper. She studied drama at Novi Sad Academy and has worked in film and on stage ever since, playing leads in many films, both drama and comedy. She has twice won the Best Actress award at the Academy Awards of former Yugoslavia and has frequently been voted 'Serbia's Favourite Actress' in public opinion polls. After starring in Emir Kusturica's Black Cat White Cat, which won the Silver Lion at Venice, in 1999 she moved to London to be in Peter Kosminsky's war-time drama 'Warriors' and has lived between London and Los Angeles ever since. She has frequently appeared in BBC productions and on commercial television in the UK, notably opposite Timothy Spall in the award-winning Auf Wiedersehen, Pet and recently opposite Michael Sheen in a bio-pic of HG Wells. She played Nika in HBO's Entourage, 'The Prince's Bride' episode, and is currently shooting a comedy back in Belgrade. She is married to director Julian Farino and they have two sons, Louis and Joe.