Name
- Harrison, Robert, of the London Library1
- Harting, James Edmund, FLS1
- Hartshorne, Charles Henry, antiquary, 1802-18651
- Hatchett, Charles, FRS, chemist1
- Haughton, W, Reverend1
- Hawkins, Edward, the younger, museum curator and numismatist, 1780-18671
- Hawkins, Henry, Baron Brampton1
- Hawley Smart, Henry, novelist1
- Hazlewood, Joseph, FSA1
- Head, Barclay Vincent, Keeper of Coins and Medals British Museum1
- Hennessey, John Pope, Governer of Hong Kong1
- Herbert, Edward, formerly Clive Viscount Clive, 2nd Earl of Powis1
- Herbert, John Alexander, of the Department of Manuscripts British Museum1
- Heron-Allen, Edward, FRS1
- Herschell, Farrer, 1st Baron Herschell, Lord Chancellor1
- Heurtley, Charles Abel, Reverend Professor of Divinity at Oxford University1
- Heyne, Christian Gottlob, Professor at Göttingen1
- Hill, George Francis, KCB, Director British Museum1
- Hinds, Samuel, Bishop of Norwich1
- Hoare, Henry Ainslie, 5th Baronet, MP1