Moulton’s curatorial and writing practice spans across museums and contemporary art spaces. Moulton is Senior Curator of South Eastern Aboriginal Collections for Museums Victoria at Melbourne Museum with a curatorial focus on the intersection of contemporary First Peoples’ art and cultural material in museums and is passionate about contemporary response to collections, community access and autonomy in these spaces. She is the Victorian Curator for the First Nations Curatorial Program Venice Biennale, 2017. Moulton was curator of Birrarung community arts program at Bunjilaka Aboriginal Cultural Centre, Melbourne Museum, 2009-2015, and an Assistant Curator for First Peoples exhibition at Melbourne Museum. Along with sixteen exhibitions at Bunjilaka Kimberley has independently curated where the water moves where it rests, the art of Djambawa Marawili, (Kluge-Ruhe Aboriginal Art Collection, USA, 2015), State of The Nation, (Counihan Gallery, Brunswick, 2016) A Call From The West; The Continuing Legacy of Mr William Cooper (Footscray Community Arts Centre 2016). She was co-curator for Artbank Sydney Social Day 2016, RECENTRE; sisters (City of Melbourne Gallery, 2017) and co-curator for Next Matriarch in collaboration with ACE Open Adelaide and TARNANTHI Indigenous Arts Festival October 2017.

Kimberley was an inaugural participant of the National Gallery of Australia’s Wesfarmers Indigenous Arts Leadership Program 2010, the 2013 British Council ACCELERATE program United Kingdom, 2015 inaugural National Gallery of Australia international curatorial fellow at the Kluge-Ruhe Aboriginal Collection in Charlottesville, USA, and part of the 2015 Indigenous Curatorial Delegation to Harvard University and Washington D.C USA. Kimberley was a judge for the 2015 Art Gallery Western Australia National Indigenous Art Awards, 2016 Telstra National Aboriginal and Torres Strait Islander Art Awards and 2016 National Indigenous Ceramic Art Awards and written for various institutions and publications including the Kaldor Public Art Project, National Gallery of Australia, Art Monthly, Artlink, Arts Almanac and Un Projects. Kimberley is currently member of the board for BlakDot Gallery Melbourne and Gallery Kaiela Aboriginal Art Gallery Shepparton.