[4][5] Vesna Meštrić is current director of MSU, replacing Zdenka Badovinac in late 2023 first temporarily and as of 2024 officially.

[5] The gallery was located at the Kulmer Palace in the Upper Town area and also housed the Center for Photography, Film and Television and a museum library.

In 1998, a decision was made to move the museum to a brand new building on the corner of Dubrovnik and Većeslav Holjevac avenues in Novi Zagreb district.

The cornerstone for the new building was laid in November 2003, and the new museum finally opened on 11 December 2009, after six years of construction which was beset with several delays.

The museum houses a total of 12,000 objects (of which around 600 are on permanent display)[1] and numerous works by contemporary Croatian artists, including Vojin Bakić, Boris Bućan, Tošo Dabac, Braco Dimitrijević, Tomislav Gotovac, Benko Horvat, Alexandar Battista Ilić, Sanja Iveković, Anto Jerković, Julije Knifer, Zlatko Kopljar, Ivan Kožarić, Vlado Kristl, Vlado Martek, Dalibor Martinis, Ivan Picelj, Vjenceslav Richter, Edita Schubert, Mladen Stilinović, Miroslav Šutej; as well as international contemporary artists such as Getulio Alviani, Alberto Biasi, Max Bill, Piero Dorazio, Julio Le Parc, Richard Mortensen, Otto Piene, Jesús Rafael Soto, Victor Vasarely, Marina Abramović, Dorothy Cross, Katarzyna Kozyra, etc.