At the age of one, she moved to Copenhagen with her family where her father worked at the Yugoslavian embassy.

[1] Danica Curcic attended Sankt Annæ Gymnasium before obtaining a bachelor's degree in film and media studies from the University of Copenhagen.

She then spent a year in California where she took acting classes at the Dell'Arte International School of Physical Theatre before enrolling at the Danish National School of Performing Arts, graduating in 2012.

In 2014, she received a Shooting Star Award at the Berlin International Film Festival in 2014.

[1] In 2015, she received a Danish Film Critics Association Award for Best Actress for her role in Bille August's Silent Heart.