Born in Zagreb, Croatia, Božičević emigrated to New York City in 1997 and studied at Hunter College. She is the author of several chapbooks, including Morning News (2006) and Document (2007). Her first book-length collection, Stars of the Night Commute (2009), was a finalist for the Lambda Literary Awards.
 
Travelers and messengers figure in Božičević’s dreamlike poems of shifting diction, narrative, and settings. Chris Tonelli, reviewing the chapbook Document, commented that “by expertly combining the rhetoric of narrative with the agility of surrealism, Božičević creates a landscape, and a cast of characters within that landscape, for which flux is the only stable thing.”
 
Božičević has worked for the PEN American Center and the Center for the Humanities of the Graduate Center, CUNY. She co-directs the Stain of Poetry reading series in Brooklyn, New York.