It is a private, non-profit institution located on the Southbank Riverwalk, and the city's most visited museum.

In 2016, the museum opened another new core exhibit, Health in Motion: Discover What MOVES.

[5] In 2021, MOSH announced it would relocate to the Northbank of downtown Jacksonville with a new facility designed by architectural firm DLR Group.

The WeaveTales exhibit hosted information pertaining to refugees within North Florida and highlight some women’s journey to Jacksonville.

Previously shown at Jacksonville’s MOCA, the exhibit arrives at the city’s MOSH in May 2022.