H
- Mrs. Rose Hacker (Lab): St. Pancras North 1973 – 1977
- Thomas Alfred Leefe Ham (C): Tooting 1977 – 1981
- John Hammond (C): Redbridge 1970 – 1973
- Mrs. Lesley Hammond (Lab): Dulwich 1981 – March 31, 1986
- Elgar Handy (Lab): Erith and Crayford 1981 – March 31, 1986
- Alan Hardy (C): Brent 1967 – 1973; Brent North 1973 – March 31, 1986
- Illtyd Harrington (Lab): Brent 1964 – 1967; Alderman April 28, 1970 – 1973; Brent South 1973 – March 31, 1986
- Andrew Phillip Harris (Lab): Putney 1981 – May 21, 1985
- David Anthony Harris (C): Bromley November 7, 1968 – 1973; Ravensbourne 1973 – 1977
- John Leonard Harris (C): Putney 1977 – 1981
- Anthony Bernard Hart (Lab): Hornsey 1981 – March 31, 1986
- Mrs. Maureen Harwood (Lab): Alderman 1973 – 1977
- Stephen Haseler (Lab) (Ind): Wood Green 1973 – 1977
- Stephen Robert Hatch (Lab): Battersea South 1973 – 1977
- Sir Joseph Henry Haygarth (C): Barnet 1964 – 1967
- John Charles Henry (Lab): Lewisham 1964 – 1967 and 1970 – 1973; Lewisham East 1973 – 1977
- Alan Lewis Herbert (Lab): Lewisham West April 24, 1980 – August 2, 1984 and September 20, 1984 – March 31, 1986
- Arthur James Hichisson (C): Lewisham 1967 – 1970; Alderman 1970 – 1977
- Christopher Thomas Higgins (Lab): Ealing 1964 – 1967
- Ellis Simon Hillman (Lab): Hackney 1964 – 1973; Hackney Central 1973 – 1981
- Rev. Canon Harvey William Hinds (Lab): Southwark 1967 – 1973; Peckham 1973 – March 31, 1986
- Roger Eden Hiskey (C): Lewisham West 1977 – February 4, 1980
- Norman Howard (Lab): Brent East 1973 – March 31, 1986
- Thomas Charles Hudson (C): Enfield 1970 – 1973
- Robert Gurth Hughes (C): Croydon Central March 20, 1980 – March 31, 1986
- Arthur Horace Sydney Hull (C): Hayes and Harlington December 15, 1977 – 1981
- Robert William George Humphreys (Lab): Lambeth 1964 – 1967
Read more about this topic: Members Of The Greater London Council