| Hair | Original Broadway Cast | RCA Victor | lso-1150 |
| Hammer | Hammer | Asylum | 6E 232 |
| Happy again | P.S. Corporation | CBS | S 64 884 |
| Hard labor | Three Dog Night | Probe | C062-95359 |
| Harp music | Zabaleta Nicanor | Counterpoint | 5509 |
| Harpsichor recital | Bach J.S. | Fidelity | FID 2054 |
| Harpsichord concerto 1,6 | Bach J.S. | Saga | XID 5308 |
| Harpsichord concerto 2, 3 | Bach J.S. | Saga | XID 5310 |
| Harpsichord concerto 4,5,7 | Bach J.S. | Saga | XID 5309 |
| Hasten down the wind | Ronstadt Linda | Asylum | K 53045 |
| Hatfield and the north | Hatfield and the north | Virgin | VR 13-110 |
| Hauf time | Nicoll Watt | Canon | VAR 4971 |
| Head in the clouds | James John | Transatlantic | TRA 305 |
| Headin' home | Wright Gary | Warner | BSK 5244 |
| Headkeeper | Mason Dave | Blue Thumb | BT 10 002 |
| Heads and tales | Various artists | Transatlantic | TRA SAD 18 |
| Hear & now | Butts Band | Blue thumb | BT.10.042 |
| Heaven and hell | Vangelis | RCA | RS 1026 |
| Heavenly bodies | Thompson Barbara' Paraphernalia | VeraBra | 15 |
| Heavy duty | Van den Broek Rob | Timeless | SJP 220 |
| Heavy Turbulence | Saunders Mel | Fantasy | 6035 |
| Hedgehog Pie | Hedgehog Pie | Rubber | Rub 09 |
| Helluva Band | Angel | Casablanca | C066 97888 |
| Hendrix, Page,Beck,Clapton | Various artists | Monkey records | MY 43.006 |
| Henry cow | Henry Cow | Virgin | 87738 IT |
| Hergest Ridge | Oldfield Mike | Virgin | 88134 IT |
| High and mighty | Uriah heep | Bronze | 27 438 XOT |
| High energy | Supremes | Motown | M6-863S1 |
| Himalaya | Richman Jonathan & another language | Passport | PJ 88007 |
| His songs & his guitars | Price Malcolm | Saga | FID 2156 |
| Historic organs of Italy | Biggs E. power | CBS | 72810 |
| History of British pop vol.5 | Fame Georgie | EMI | NSPH 18593 |
| Holland | Beach Boys | Reprise | Rep 54008 |
| Holly days | Laine Denny | EMI | EMA 781 |
| Hollywood | Ferguson Maynard | CBS | 85503 |
| Home is in my head | Lomax Jackie | Warner | 46 091 |
| Home is where you find it | Hardin Eddie | Decca | TXS 106 |
| Horsemusic | Nicholson Lea | Trailer | LER 3010 |
| Horseshoe in the glove | SO | EMI | PCS 7316 |
| House of exile | Cliff Jimy | EMI | EMC 3035 |
| House of the rising sun | Animals | Pathé Marconi | C 048-50731 |
| Hows tricks | Bruce Jack | RSO | 2 394 180 |
| Humble Pie | Humble Pie | A&M | AML 986 |
| Hummingbird | Hummingbird | A&M | SP-4536 |