Top 20 Song Chart for March 21, 1964 |
| LW | TW | peak |
| 3 | 1 | Hello, Dolly! | ▲ |
| Louis Armstrong And The All Stars |
 |  |
| 9 | 2 | Twist And Shout | ▲ |
| The Beatles |
| | |
| 1 | 3 | She Loves You | 1 |
| The Beatles |
| | |
| 2 | 4 | Please Please Me | 2 |
| The Beatles |
| | |
| 5 | 5 | Dawn (Go Away) | 3 |
| The 4 Seasons |
| | |
| 4 | 6 | I Want To Hold Your Hand | 1 |
| The Beatles |
| | |
| 16 | 7 | Glad All Over | 5 |
| The Dave Clark Five |
| |
| 8 | 8 | Java | 4 |
| Al Hirt |
| | |
| 11 | 9 | Navy Blue | 7 |
| Diane Renay |
| | |
| 17 | 10 | The Shoop Shoop Song (It's In His Kiss) | 4 |
| Betty Everett |
| | |
| 7 | 11 | I Only Want To Be With You | 7 |
| Dusty Springfield |
| | |
| - | 12 | Suspicion | 3 |
| Terry Stafford |
| | |
| 12 | 13 | Fun, Fun, Fun | 12 |
| The Beach Boys |
| | |
| - | 14 | Hi-Heel Sneakers | ▲ |
| Tommy Tucker |
| | |
| 10 | 15 | Kissin' Cousins | 10 |
| Elvis Presley |
| | |
| - | 16 | My Heart Belongs To Only You | 10 |
| Bobby Vinton |
| | |
| - | 17 | Stay | 12 |
| The 4 Seasons |
| | |
| 6 | 18 | Who Do You Love | 6 |
| The Sapphires |
| | |
| - | 19 | The Way You Do The Things You Do | 6 |
| The Temptations |
| | |
| 15 | 20 | I Saw Her Standing There | 13 |
| The Beatles |
| | |
| Prior Week | Next Week |