Morrison's film and multimedia art has been screened at festivals, museums and concert halls worldwide, including the Sundance Film Festival, the Tate Modern, and the Walt Disney Concert Hall. The Museum of Modern Art has acquired eight of his titles for their permanent collection. Morrison has been commissioned to create films for numerous composers, including John Adams, Laurie Anderson, Gavin Bryars, Dave Douglas, Richard Einhorn, Bill Frisell, Michael Gordon, Henryk Gorecki, Vijay Iyer, Jóhann Jóhannsson, David Lang, Harry Partch, Steve Reich and Julia Wolfe. Morrison has received the Alpert Award, as well as fellowships from Creative Capital, the Guggenheim Foundation, the Foundation for Contemporary Arts, and the NEA.
Decasia (2002), his feature-length collaboration with composer Michael Gordon, was described by The Village Voice film critic J. Hoberman as "the most widely acclaimed American avant-garde film of the fin-de-siècle", and by Oscar-winning filmmaker Errol Morris as "a definitive work of art, and a new kind of documentary." Writing in The New York Times Magazine, Lawrence Weschler wrote that watching the film, "I found myself completely absorbed, transfixed, a pillow of air lodged in my stilled, open mouth."