The president signed the legislation Friday following efforts by members of New York's congressional delegation to get it passed.
Jackson was a native of Chautauqua County, south of Buffalo. A former U.S. attorney general, he was appointed to the Supreme Court in 1941 and served for 13 terms. He took a leave for a year in 1945 to serve as chief prosecutor of Nazi war criminals during the Nuremberg Trials. He died in 1954.
The 10-story courthouse which now bears his name opened last fall.