Jolie arrived in a private plane with two of her children, the Jutarnji List daily reported in its online edition.
Before seeing the play, she met with Croatian President Ivo Josipovic and his wife Tanja, national television said.
The Hollywood star was invited to Croatia by fellow actor and friend Rade Serbedzija, who has starred in films such as 'Mission: Impossible II,' 'Batman Begins,' 'X-men: First Class' and 'Harry Potter and Deadly Hallows: Part 1.'
Jolie will spend the night in the presidential residence on Brijuni, will on Saturday meet with Josipovic to discuss the problem of landmines in Croatia. Several landmines dating from the 1991-1995 war in this former Yugoslav republic remain.
The actress made her directorial debut last year. The film recounted a love story of a Muslim woman and a Serb man against the background of Bosnia's 1992-1995 inter-ethnic war.(AFP)
