H
- Sean Hales (died 1922): SF TD Cork Mid, North, South, South East and West 1921–1922
- his brother Tom Hales (1892–1966): FF TD Cork West 1933–1937
- Des Hanafin (born 1930): FF Senator 1965–1993, 1997–2002
- his daughter Mary Hanafin (born 1959): FF TD Dún Laoghaire 1997–2011
- his son John Hanafin (born 1960): FF Senator 2002–2011
- Haughey, see Lemass
- Jackie Healy-Rae (born 1931): Ind TD Kerry South 1997–2011
- his son Michael Healy-Rae Ind TD Kerry South 2011–
- Sir William Bernard Hickie (1865–1950): Senator 1925–1936
- his grandnephew Maurice O'Connell (born 1936): Senator 1981–1983
- Michael Hilliard (1903–1982): FF TD Meath–Westmeath 1943–1948, Meath 1948–1973, MEP 1973
- his son Colm Hilliard (1936–2002): FF TD Meath 1982–1997
- Hogan, see Sullivan
- T. V. Honan (1878–1954): FF Senator 1934–1936, 1938–1954
- his son Dermot Honan (died 1986): FF Senator 1965–1973
- Dermot's wife Tras Honan (born 1930): FF Senator 1977–1992
- Tras's sister Carrie Acheson (born 1934): FF TD Tipperary South 1981–Feb. 1982
- Dermot's wife Tras Honan (born 1930): FF Senator 1977–1992
- his son Dermot Honan (died 1986): FF Senator 1965–1973
- John Horgan (1876–1955): NLP TD Cork Borough 1927
- his grandson Seán O'Leary (1941–2006): FG Senator 1981–1982, 1983–1987
- Ralph Howard (1877–1946): Ind Senator 1922–1928
- his daughter-in-law Eleanor Butler (1915–1997): Lab Senator 1948–1951
Read more about this topic: Families In The Oireachtas