Top 20 Song Chart for June 2, 1962 |
| LW | TW | peak |
| 1 | 1 | I Can't Stop Loving You | ▲ |
| Ray Charles |
 |  |
| 4 | 2 | The One Who Really Loves You | ▲ |
| Mary Wells |
| | |
| 3 | 3 | Stranger On The Shore | ▲ |
| Mr. Acker Bilk |
| | |
| 2 | 4 | Soldier Boy | 1 |
| The Shirelles |
| | |
| 5 | 5 | Uptown | ▲ |
| The Crystals |
| | |
| 9 | 6 | I Sold My Heart To The Junkman | ▲ |
| The Blue-Belles |
| |
| 10 | 7 | Lovers Who Wander | 3 |
| Dion |
| | |
| 18 | 8 | Palisades Park | 4 |
| Freddy Cannon |
| | |
| 12 | 9 | Playboy | 2 |
| The Marvelettes |
| | |
| 15 | 10 | I Love You | 4 |
| The Volume's |
| | |
| 13 | 11 | Don't Play That Song (You Lied) | 5 |
| Ben E. King |
| | |
| 8 | 12 | Everybody Loves Me But You | 8 |
| Brenda Lee |
| | |
| 17 | 13 | Village Of Love | 8 |
| Nathaniel Mayer And The Fabulous Twilights |
| | |
| - | 14 | Second Hand Love | 12 |
| Connie Francis |
| | |
| - | 15 | (The Man Who Shot) Liberty Valance | 10 |
| Gene Pitney |
| | |
| - | 16 | It Keeps Right On A-Hurtin' | 11 |
| Johnny Tillotson |
| | |
| - | 17 | Follow That Dream | 10 |
| Elvis Presley |
| | |
| - | 18 | Any Day Now (My Wild Beautiful Bird) | 9 |
| Chuck Jackson |
| | |
| 11 | 19 | I Wish That We Were Married | 7 |
| Ronnie And The Hi-Lites |
| | |
| 6 | 20 | She Cried | 4 |
| Jay And The Americans |
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| Prior Week | Next Week |