National Academies Fellowships Office
Official site: http://sites.nationalacademies.org/pga/fellowships/
Final Deadline: Varies; Check website
"The Fellowships Office (FO) of the National Academies administers predoctoral, postdoctoral, and senior fellowship awards on behalf of government and private/foundation sponsors; these fellowship awards play an important role in the career development of doctoral and postdoctoral researchers and scholars for the academic, federal, industrial and international workforce." ~Website
Visit the website for more information.