In the past 30 years, Lucier has been the recipient of grants, awards, and commissions from public and private foundations including Creative Capital, the Rockefeller Foundation, the Guggenheim Foundation, the American Film Institute, the Jerome Foundation, the National Endowment for the Arts, the New York State Council on the Arts, Anonymous Was A Woman, and the Nancy Graves Foundation. In 2007 she received the Skowhegan Medal for Video for outstanding work in the field. In 2010 she won a United States Artists Fellow award.
A traveling exhibition, The Plains of Sweet Regret, is accompanied by a 48 page catalog edited by Laurel Reuter, with an essay by Karen Wilkin. Venues include the University of Wyoming Art Museum, Laramie, WY, the University of Michigan Museum of Art, Lennon, Weinberg Gallery, New York, NY, The Nicolaysen Museum of Art (Casper, WY), The Laboratory of Art and Ideas at Belmar (Denver), the Amon Carter Museum (Fort Worth, TX) where it is the first video installation ever to be shown at the museum. and the Birmingham Museum of Art (Birmingham, AL).