The best selling album in 1959 in United Kingdom was SOUTH PACIFIC by SOUNDTRACK.
| Rank | Artist | Album | Released |
| 1 | SOUNDTRACK | SOUTH PACIFIC | 1958 |
| 2 | SOUNDTRACK | GIGI | 1958 |
| 3 | SOUNDTRACK | MY FAIR LADY (ORIGINAL CAST) | 1956 |
| 4 | PETER SELLERS | BEST OF SELLERS | 1959 |
| 5 | FRANK SINATRA | COME DANCE WITH ME | 1959 |
| 6 | ELVIS PRESLEY | ELVIS' GOLDEN RECORDS, VOLUME 1 | 1958 |
| 7 | CLIFF RICHARD | CLIFF | 1959 |
| 8 | RUSS CONWAY | FAMILY FAVOURITES | 1959 |
| 9 | BUDDY HOLLY & THE CRICKETS | BUDDY HOLLY STORY | 1959 |
| 10 | SOUNDTRACK | THE KING AND I | 1956 |
Source: Official Charts