Issue Date> | Song | Artist | | January 4 | El Paso | Marty Robbins |
| January 18 | Running Bear | Johnny Preston |
| February 8 | Teen Angel | Mark Dinning |
| February 22 | The Theme From "A Summer Place" | Percy Faith & his Orchestra |
| April 25 | Stuck On You | Elvis Presley |
| May 23 | Cathy's Clown | The Everly Brothers |
| June 27 | Everybody's Somebody's Fool | Connie Francis |
| July 11 | Alley-Oop | Hollywood Argyles |
| July 18 | I'm Sorry | Brenda Lee |
| August 8 | Itsy Bitsy Teenie Weenie Yellow Polkadot Bikini | Brian Hyland |
| August 15 | It's Now Or Never | Elvis Presley |
| September 19 | The Twist | Chubby Checker |
| September 26 | My Heart Has A Mind Of Its Own | Connie Francis |
| October 10 | Mr. Custer | Larry Verne |
| October 17 | Save The Last Dance For Me | The Drifters |
| October 24 | I Want To Be Wanted | Brenda Lee |
| November 14 | Georgia On My Mind | Ray Charles |
| November 21 | Stay | Maurice Williams & The Zodiacs |
| November 28 | Are You Lonesome Tonight? | Elvis Presley |