[4] As Director, Morris oversees one of the world's most popular art museums, with an attendance of over 5.8 million visitors annually; she is also credited with elevating Tate Modern's profile globally.

[11] Morris, along with her colleague Iwona Blazwick, was responsible with the initial presentation in 2000 of the Tate Modern's opening collection displays, organised thematically and in a non-chronological manner with mixing of contemporary artworks with those of Monet, Matisse, and Picasso.

While the non-chronological style was controversial with art critics, it is now regularly used world-wide by museums and galleries; Tate Modern continues to display its collection in this way.

[7][14] She has curated several large-scale international collaborative exhibitions including, most recently, major retrospectives for Louise Bourgeois in 2007,[15][16] Yayoi Kusama in 2012,[17] Agnes Martin in 2015, and Alberto Giacometti in 2017.

[23] She also holds Honorary Doctorates from the Universities of Essex, Edinburgh and York, from the Royal College of Art London and UAL.