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- David Hall (1752–1817), Continental Army officer and Governor of Delaware
- John W. Hall (1817–1893), General Assembly and Governor of Delaware
- Willard Hall (1780–1875), U. S. Representative and Justice for the United States District Court
- L. Irving Handy (1861–1922), educator and U. S. Representative from Delaware
- Kwame Harris (born 1982), professional football player; born in Newark
- Orien Harris (born 1983), professional football player; born in Newark
- John Haslet (c. 1727–1777) Revolutionary War soldier from Milford
- Joseph Haslet (1769–1823), farmer and Governor of Delaware
- Harry G. Haskell, Jr. (born 1921), businessman and U.S. Representative from Delaware.
- Daniel O. Hastings (1874–1966) lawyer and U.S. Senator from Delaware
- David Hazzard (1781–1864), Associate Justice and Governor of Delaware
- Walt Hazzard (born 1942), college, Olympic and professional basketball player; college basketball coach; born in Wilmington
- William H. Heald (1864–1939), lawyer and U. S. Representative from Delaware
- Henry Heimlich (born 1920), physician, invented the Heimlich Maneuver; born in Wilmington
- Anthony Higgins (1840–1912), lawyer and U.S. Senator from Delaware
- John H. Hoffecker (1827–1900), engineer and U. S. Representative from Delaware
- Walter O. Hoffecker (1854–1934), businessman and U. S. Representative from Delaware
- General Thomas Holcomb (1879–1965), 17th Commandant of the United States Marine Corps; born in New Castle
- Outerbridge Horsey (1777–1842), General Assembly and U.S. Senator from Delaware
- Cisco Houston (1918–1961), folk singer closely associated with Woody Guthrie; born in Wilmington
- Henry A. Houston (1847–1925), businessman and U. S. Representative from Delaware
- John W. Houston (1814–1896), U.S. Representative and Justice of Delaware Superior Court
- Robert G. Houston (1867–1946), lawyer and U.S. Representative from Delaware
- James H. Hughes (1867–1953), lawyer and U.S. Senator from Delaware
- John Hunn (1818–1894), farmer and abolitionist; from Odessa
- John Hunn (1849–1926), businessman and Governor of Delaware
- Doug Hutchison (born 1960), actor; born in Dover
Read more about this topic: List Of People From Delaware