Chiu worked as an independent curator for several years at the beginning of her career. From 1993-1996, she joined the University of Western Sydney Collection at the University of Western Sydney as a curator. in 1996, Chiu collaborated with a group of Asian Australian artists, performers, filmmakers and writers to establish Gallery 4A, a nonprofit contemporary art center devoted to promoting dialogue in the Asia-Pacific region. Chiu was founding Director of Gallery 4A, later renamed the 4A Centre for Contemporary Asian Art. In 2001 she was the curator during the Center's transition to a two-story city owned heritage building in Sydney’s Chinatown. Chiu was appointed Asia Society's Museum Director in 2004 after serving as the curator of contemporary Asian and Asian American art—the first curatorial post of its kind in an American museum. She initiated a number of initiatives at the Asia Society Museum, including the launch of a contemporary art collection to complement the museum's Rockefeller Collection of traditional Asian art. Chiu has curated over thirty international exhibitions mainly focused on the art and artists of Asia. Her major curatorial credits include Zhang Huan: Altered States and Art and China's Revolution with Zheng Shengtian, one of the first historical appraisals of Chinese art from the 1950s through 1970s and Nobody's Fool: Yoshitomo Nara with Miwako Tezuka. She was awarded a Getty Curatorial Research Fellowship in 2004. She was the Museum Director of the Asia Society, and its Vice President of Global Art Programs, responsible for programming its Park Avenue museum and future museum facilities under construction in Hong Kong and Houston.
Hirshhorn Museum
Following her 2014 appointment as the first non-American to head the Hirshhorn, Chiu announced the hiring of New York-based Gianni Jetzer as curator-at-large. Jetzer was allowed to maintain his position as a curator for Art Basel, despite the appearance of a conflict of interest. In August 2015, Chiu announced that the museum's 40th anniversary celebration would be held at 4 World Trade Center in New York. Philip Kennicott, art and architecture critic of The Washington Post, commented that the decision was "deeply troubling and raises concern about where Chiu is taking the organization". The controversy of her decision to move the location of the 40th anniversary to New York from D.C. led to a concern of "missing out on the chance to cultivate critical donors" in Washington.
Publications
Chiu has published in art magazines and journals, and has authored several books, including Breakout: Chinese Art Outside China, published by Charta and Chinese Contemporary Art: 7 Things You Should Know, published by AW Asia. Her latest books include Contemporary Asian Art with Benjamin Genocchio, published by Thames & Hudson and Monacelli Press, and an edited anthology, Contemporary Art in Asia: A Critical Reader, published by MIT Press.
Chiu is married to Benjamin Genocchio, an art critic and the former editor-in-chief of Artnet News. Genocchio left his position at Arnet News in 2016, and the Armory Show in 2017, due to several sexual harassment allegations against him. Chiu and her husband co-authored Asian Art Now, originally published in 2010. In September 2015, The Washington Post reported that Genocchio had edited the content of Chiu's Wikipedia entry in order to remove negative commentary about her work at the Hirshhorn and to add laudatory statements.