The best selling album in 1964 in United Kingdom was WEST SIDE STORY by SOUNDTRACK.
| Rank | Artist | Album | Released |
| 1 | SOUNDTRACK | WEST SIDE STORY | 1961 |
| 2 | THE BEATLES | WITH THE BEATLES | 1963 |
| 3 | THE ROLLING STONES | THE ROLLING STONES | 1964 |
| 4 | THE BEATLES | PLEASE PLEASE ME | 1963 |
| 5 | THE BEATLES | A HARD DAY'S NIGHT | 1964 |
| 6 | ROY ORBISON | IN DREAMS | 1964 |
| 7 | BACHELORS | THE BACHELORS AND SIXTEEN GREAT SONGS | 1964 |
| 8 | CLIFF RICHARD | WONDERFUL LIFE | 1964 |
| 9 | THE HOLLIES | STAY WITH THE HOLLIES | 1964 |
| 10 | THE SEARCHERS | MEET THE SEARCHERS | 1963 |
| 11 | GERRY & THE PACEMAKERS | HOW DO YOU LIKE IT? | 1963 |
| 12 | THE SHADOWS | DANCE WITH THE SHADOWS | 1964 |
| 13 | JIM REEVES | MOONLIGHT AND ROSES | 1964 |
| 14 | FREDDIE & THE DREAMERS | FREDDIE & THE DREAMERS | 1964 |
| 15 | JIM REEVES | GENTLEMAN JIM | 1964 |
| 16 | THE SHADOWS | SHADOWS' GREATEST HITS | 1963 |
| 17 | ELVIS PRESLEY | KISSIN' COUSINS | 1964 |
| 18 | FRANK IFIELD | BORN FREE | 1964 |
| 19 | DUSTY SPRINGFIELD | A GIRL CALLED DUSTY | 1964 |
| 20 | THE SEARCHERS | IT'S THE SEARCHERS | 1964 |
Source: Record Retailer