| Name: | First Elected or Appointed: |
| Haendiges, Deborah A. | November 8, 2005 |
| Haendiges, Deborah A. | November 5, 2019 |
| Hagarty, William F. | November 7, 1922 |
| Hagerty, Leo J. | November 5, 1946 |
| Hagher, Shlomo S. | November 6, 2012 |
| Haight, Albert | November 7, 1876 |
| Hall, L. Priscilla | November 2, 1992 |
| Hall, W. Bromley | November 2, 1993 |
| Hallinan, James T. | November 3, 1931 |
| Halpern, Philip | November 4, 1947 |
| Hamm, Herbert D. | February 1, 1951 |
| Hammer, Ernest E. L. | November 3, 1925 |
| Hammer, Frederic E. | November 3, 1970 |
| Hancock, Stewart F., Jr. | February 2, 1971 |
| Hand, Augustus C. | June 7, 1847 |
| Hand, Vincent J. | November 3, 1987 |
| Hanophy, Robert J. | November 4, 2003 |
| Harbater, Maurice | November 7, 1989 |
| Harcourt, Bertram E. | November 7, 1939 |
| Hardin, George A. | November 5, 1871 |
| Harkavy, Ira B. | November 7, 2000 |
| Harlem, Robert A. | November 7, 1978 |
| Harnett, Bertram | August 2, 1968 |
| Harris, Ira | June 7, 1847 |
| Harris, Joseph | November 8, 1988 |
| Harris, Samuel J. | November 4, 1924 |
| Hart, Duane A. | November 5, 2002 |
| Hart, Edward J. | November 5, 1991 |
| Hart, Ernest F. | November 8, 2016 |
| Hart, Walter R. | November 8, 1949 |
| Harvey, Norman L. | November 7, 1967 |
| Harwood, Stanley | November 3, 1981 |
| Hasbrouck, Gilbert D. B. | December 14, 1904 |
| Hatch, Edward W. | November 5, 1895 |
| Hatting, Peter A. | November 6, 1923 |
| Hawkins, Joseph F. | November 3, 1964 |
| Hayes, John F. | November 8, 1977 |
| Hayes, Leo F. | November 6, 1973 |
| Hearn, Murray, III | November 4, 1947 |
| Heath, Riley H. | November 4, 1930 |
| Hecht, Burton C. | November 8, 1988 |
| Hecht, William C., Jr. | November 4, 1941 |
| Heckman, Howard H., Jr. | November 3, 2015 |
| Heffernan, Christopher J. | November 3, 1925 |
| Heitler, Sherry Klein | November 7, 2000 |
| Held, Gerald S. | April 29, 1974 |
| Hellenbrand, Julius A. | November 8, 1977 |
| Heller, Blossom | November 2, 1982 |
| Heller, Louis B. | November 8, 1966 |
| Helman, Nathaniel T. | November 7, 1961 |
| Henderson, William H. | March 21, 1876 |
| Hendrick, Peter A. | November 6, 1906 |
| Henry, Clarence J. | November 8, 1960 |
| Henry, Frederic T. | November 7, 1950 |
| Henry, Patrick | November 6, 1990 |
| Hentel, Nat | November 3, 1987 |
| Herlihy, J. Clarence | November 8, 1955 |
| Herold, J. Radley | May 22, 1987 |
| Herrick, D. Cady | November 3, 1891 |
| Herrick, Newton J., Sr. | March 18, 1925 |
| Herz, George W. | July 25, 1963 |
| Hester, Samuel D. | November 5, 2002 |
| Hester, Joseph P., Jr. | November 7, 2000 |
| Hickey, William J. | November 5, 1935 |
| Hickman, S. Barrett | November 5, 1985 |
| Hicks, Whitehead | February 14, 1776 |
| Hill, James P. | November 6, 1923 |
| Hill, L. Barron | November 5, 1946 |
| Hillery, Judith A. | November 5, 1991 |
| Hinds-Radix, Sylvia O. | November 2, 2004 |
| Hinkley, Alonzo G. | November 4, 1919 |
| Hinkson, Elbert C. | November 8, 1983 |
| Hinman, Harold J. | November 5, 1918 |
| Hinrichs, C. Randall | November 3, 2009 |
| Hirsch, Arthur S. | November 2, 1971 |
| Hirschberg, Michael H. | November 3, 1896 |
| Hiscock, Frank H. | January 1, 1896 |
| Hitchcock, Charles A. | June 9, 1923 |
| Hobart, John Sloss | May 8, 1777 |
| Hofstadter, Samuel H. | November 8, 1932 |
| Hogan, Howard T. | November 2, 1954 |
| Hogeboom, Henry | November 3, 1857 |
| Holder, Kenneth C. | November 6, 2007 |
| Hollie, Ronald D. | November 7, 2000 |
| Holman, David | November 5, 1968 |
| Holtzman, Lester | November 7, 1961 |
| Hom, Phillip | November 5, 2019 |
| Hooker, Warren B. | November 7, 1899 |
| Hooley, Francis G. | November 5, 1935 |
| Hopkins, James D. | November 8, 1960 |
| Horowitz, Lawrence | November 4, 2003 |
| Horsemanden, Daniel | January 24, 1736 |
| Horton, Clinton T. | November 8, 1921 |
| Hotchkiss, Henry D. | November 7, 1911 |
| Houghton, James W. | November 6, 1900 |
| Howard, Wesley O. | November 4, 1902 |
| Howe, Barbara | November 5, 1991 |
| Hoyt, Clare J. | August 23, 1961 |
| Hoyt, James G. | June 7, 1847 |
| Hubbard, Frederick W. | November 6, 1849 |
| Hubbs, Irving G. | November 7, 1911 |
| Hubert, James W., Jr. | November 4, 2014 |
| Hubsher, Muriel Shaff | January 1, 1999 |
| Hudson, Henry A. | January 1, 1953 |
| Huff, Carol E. | November 8, 1988 |
| Hughes, Charles M. | November 3, 1953 |
| Hughes, Mary Brigantti | November 2, 2004 |
| Hughes, Thomas J. | November 4, 1969 |
| Hughes, Harold J., Jr. | November 2, 1971 |
| Humphrey, Burt Jay | November 3, 1925 |
| Hunt, Russell G. | November 8, 1960 |
| Hunter, Alexander W., Jr. | November 8, 1994 |
| Huntington, Philip | January 18, 1954 |
| Hurkin-Torres, Allen Z. | November 6, 2001 |
| Hurlbut, Elisha P. | June 7, 1847 |
| Hurlbutt, Robert G. | November 3, 1987 |
| Hutcherson, James W. | November 8, 1983 |
| Huttner, Richard | November 5, 1985 |
| Huttner, Richard D. | November 2, 1999 |
| Hyman, Harold | November 6, 1973 |