The State University of New York Health Science Center at Brooklyn ( also called SUNY Downstate Medical Center ) , is a medical center in the Borough of Brooklyn in New York City . The State University of New York Health Science Center at Brooklyn , better known as SUNY Downstate Medical Center , is a public university and medical center located in central Brooklyn , New York and the only academic center for health education , research , and patient care serving Brooklynâ s 2.5 million residents