| Title | Authors | Publisher | Type | Comments |
| The Ghost's Companion | Peter Haining | Puffin | Horror | |
| The Warsaw Document | Adam Hall | Fontana | ||
| The Mandarin Cypher | Adam Hall | Dell | ||
| Murder Spins the Wheel | Brett Halliday | Dell | ||
| Light Cavalry Action | John Harris | Hutchinson | HB | |
| Bored of the Rings | Harvard Lampoon | Signet | Humour | |
| The Commissar | Sven Hassel | Corgi | War | |
| The Legion of the Damned | Sven Hassel | Corgi | War | |
| The Battle for the Falklands | Max Hastings & Simon Jenkins | Pan | Military | |
| Network | Sam Hedrin | Sphere | ||
| Catch-22 | Joseph Heller | Corgi | War Humour | |
| The Ascension Factor | Frank Herbert and Bill Ransom | Orbit | SF | |
| Dune | Frank Herbert | New English Library | SF | |
| Dune Messiah | Frank Herbert | Berkley | SF | |
| The Godmakers | Frank Herbert | New English Library | SF | |
| The White Plague | Frank Herbert | Gollancz | SF | HB |
| The Dosadi Experiment | Frank Herbert | Gollancz | SF | HB |
| The Green Brain | Frank Herbert | New English Library | SF | |
| Moon | James Herbert | New English Library | Horror | HB |
| It Shouldn't Happen to a Vet | James Herriot | Pan | Humour Autobiography | |
| If Only They Could Talk | James Herriot | Pan | Humour Autobiography | |
| Vet in Harness | James Herriot | Pan | Humour Autobiography | |
| Vet in a Spin | James Herriot | Pan | Humour Autobiography | |
| Let Sleeping Vets Lie | James Herriot | Pan | Humour Autobiography | |
| Vets Might Fly | James Herriot | Pan | Humour Autobiography | |
| The Lord God Made Them All | James Herriot | Reader's Digest | Humour Autobiography | HB |
| Hiroshima | John Hersey | Penguin | Military | Worm |
| Annapurna | Maurice Herzog | Reprint Society | Climbing | HB |
| The Kontiki Expedition | Thor Heyerdahl | Readers Union | Adventure | HB |
| Solo | Jack Higgins | Pan | Thriller | |
| The Eagle has Landed | Jack Higgins | Pan | Thriller | |
| Kes | Barry Hines | Penguin | ||
| The Secret of Skeleton Island | Alfred Hitchcock | Armada | Adventure | |
| The Odyssey | Homer | Wordsworth Classics | FRS | |
| The Iliad | Homer | Wordsworth Classics | FRS | |
| Mole | William Hood | Weidenfeld & Nicolson | HB | |
| The Prisoner of Zenda | Anthony Hope | Minster | Worm | |
| The Pursuit of Admiral Von Spee | Richard Hough | George Allen & Unwin | Military | HB |
| Ossian's Ride | Fred Hoyle | Heinemann | HB | |
| Cover Zero | William Hughes | Moat Hall | ||
| Odds on Gold | William Hughes | Moat Hall | ||
| Earthdark | Monica Hughes | Magnet | SF | |
| The Ascent of Everest | John Hunt | Companion Book club | Climbing | HB |
| Buddhism | Christmas Humphreys | Pelican | Religion | |
| Colloquial French | R.A. Humphreys | Routledge & Kegan Paul | Languages |