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- Billy Hagan (1932–2007) Championship NASCAR owner and racer, businessman
- Jan Hamer (1927–2008) organic chemist
- Rusty Hamer (1947–1990) child actor
- Bryant Hammett (born 1956) politician
- Kernan "Skip" Hand (born 1945) politician
- Sam Hanna, Sr. (1933–2006) newspaper publisher
- Paul Jude Hardy (born 1942) state senator, secretary of state, lieutenant governor
- Henry E. Hardtner (1870–1935), lumberman, conservationist, politician, founder of Urania
- John Spencer Hardy (1913-2012), lieutenant general in the United States Air Force
- Robert Harling (born 1951) screenwriter and film director
- Winsor Harmon (born 1963) actor, The Bold and the Beautiful
- Allen "Puddler" Harris (born 1936), pianist for Ricky Nelson and Jimmie Davis
- Eric W. Harris (1916–2007), businessman
- Lance Harris (born 1961), state representative
- T. H. Harris (1869–1942), state superintendent of education, 1908–1940
- Joe Harrison (born ca. 1952), state representative
- Benjamin Morgan Harrod (1837–1912), engineer
- Torrence "Lil Boosie" Hatch (born 1982) rapper
- Jason Hatcher (born 1982) defensive end for the Dallas Cowboys
- Kenny Havard (born 1971) politician
- Hunter Hayes (born 1991) country music singer
- Rufus D. Hayes (1913–2002), first state insurance commissioner, East Baton Rouge Parish district attorney and judge, Democratic state chairman
- Fred Haynes (1946–2006), LSU football player
- O.H. Haynes, Jr. (1920–1996) Webster Parish sheriff
- William Wright Heard (1853–1926) governor of Louisiana from 1900 to 1904
- George E. Hearn (1926–2010) psychologist
- Bobby Hebert (born 1960) former New Orleans Saints quarterback known as "Cajun Cannon"
- Felix Edward Hébert (1901–1979) journalist, politician
- Paul M. Hebert (1907–1977) judge, Louisiana State University Law Center dean
- Troy Hebert (born 1966) politician
- Marie Alice Heine (1858–1925) first American Princess of Monaco
- Norman E. "Pete" Heine (born 1928) politician
- Knute Heldner (1875–1952), impressionist artist
- Lillian Hellman (1905–1984) playwright
- Devery Henderson (born 1982), wide receiver for the New Orleans Saints
- William Kennon Henderson, Jr. (1880–1945), founder of radio station KWKH in Shreveport
- Ellis Henican (????) journalist, commentator, talk show host
- Jeff Hennessy, trampoline coach
- Leigh Hennessy, world champion gymnast and movie stuntwoman
- Charlie Hennigan (born 1935) football player
- Cameron Henry (born 1974), politician
- Clarence "Frogman" Henry (born 1937) singer, musician
- E. L. "Bubba" Henry (born 1936) politician, lawyer, lobbyist
- L. B. Henry (1920–2008) politician
- Bob Hensgens (born 1955) politician
- George Herriman (1880–1944) Krazy Kat cartoonist
- Jacob Hester (born 1985) fullback for the San Diego Chargers
- W. Scott Heywood (1872–1950) state senator; discovered oil in Jeff Davis Parish in 1901
- Andrew Higgins (1886–1952) shipbuilder, industrialist
- Wiley W. Hilburn (born 1938) journalist, educator
- Charles Franklin Hildebrand (1893–1966) journalist
- Kenny Hill (born 1958) former NFL defensive back
- Corey Hilliard (born 1985) offensive tackle for the Detroit Lions
- Quin Hillyer (born 1964) columnist and editor
- Walker Hines (born 1984) state representative from Orleans Parish
- Gerry E. Hinton (1930–2000) state senator, pioneer of chiropractic profession
- Al Hirt (1922–1999) musician
- Valarie Hodges (born 1955) politician
- Frank Hoffmann (born 1944) state representative
- Cheryl Holdridge (1944–2009) actor
- Ken Hollis (1942-2010) state senator from Jefferson Parish (1982–2008)
- Paul Hollis (born 1972) state representative from St. Tammany Parish
- Clyde C. Holloway (born 1943) former US Representative; member of the Louisiana Public Service Commission
- Russel L. Honoré (born 1947) general
- Taylor Horn (born 1992) singer and actress
- Son House (1902 (?)–1988) blues singer and guitarist
- Frank A. Howard (born 1939) politician
- Perry H. Howard (1922–2009) sociologist at Louisiana State University who researched into Louisiana politics
- Arlene Howell (born 1935) Miss USA 1958 and actress
- Jerry Huckaby (born 1941) former US Representative
- Morley Hudson (1917–2001) State Representative, advocate for the mentally retarded
- Sarah Hudson-Pierce (born 1948) author and book publisher from Shreveport
- Edgar Hull (1904–1984) physician
- Hubert D. Humphreys (1923–2009) historian
- Guy E. Humphries, Jr. (1923–2010) state court judge in Alexandria
- John S. Hunt, III (1928–2001) Monroe attorney; politician
- Clementine Hunter (c. 1886–1988) folk artist
- Jeffrey Hunter (1926–1969) actor, born in New Orleans, reared in Wisconsin
- Nita Rusich Hutter (born 1949) politician
- Mike "Pete" Huval (born ca. 1956) politician
Read more about this topic: List Of People From Louisiana