| Issue Date | Song | Artist |
| June 1 1959 | "The Battle of New Orleans" | Johnny Horton
|
| June 8 | "The Battle of New Orleans" | Johnny Horton
|
| June 15 | "The Battle of New Orleans" | Johnny Horton
|
| June 22 | "The Battle of New Orleans" | Johnny Horton
|
| June 29 | "The Battle of New Orleans" | Johnny Horton
|
| July 6 | "The Battle of New Orleans" | Johnny Horton
|
| July 13 | "Lonely Boy" | Paul Anka
|
| July 20 | "Lonely Boy" | Paul Anka
|
| July 27 | "Lonely Boy" | Paul Anka
|
| August 3 | "Lonely Boy" | Paul Anka
|
| August 10 | "A Big Hunk o' Love" | Elvis Presley
|
| August 17 | "A Big Hunk o' Love" | Elvis Presley
|
| August 24 | "The Three Bells" | The Browns
|
| August 31 | "The Three Bells" | The Browns
|
| September 7 | "The Three Bells" | The Browns
|
| September 14 | "The Three Bells" | The Browns
|
| September 21 | "Sleep Walk" | Santo & Johnny
|
| September 28 | "Sleep Walk" | Santo & Johnny
|
| October 5 | "Mack the Knife" | Bobby Darin
|
| October 12 | "Mack the Knife" | Bobby Darin
|
| October 19 | "Mack the Knife" | Bobby Darin
|
| October 26 | "Mack the Knife" | Bobby Darin
|
| November 2 | "Mack the Knife" | Bobby Darin
|
| November 9 | "Mack the Knife" | Bobby Darin
|
| November 16 | "Mr. Blue" | The Fleetwoods
|
| November 23 | "Mack the Knife" | Bobby Darin
|
| November 30 | "Mack the Knife" | Bobby Darin
|
| December 7 | "Mack the Knife" | Bobby Darin
|
| December 14 | "Heartaches by the Number" | Guy Mitchell
|
| December 21 | "Heartaches by the Number" | Guy Mitchell
|
| December 28 | "Why" | Frankie Avalon
|
| January 4 1960 | "El Paso" | Marty Robbins
|
| January 11 | "El Paso" | Marty Robbins
|
| January 18 | "Running Bear" | Johnny Preston
|
| January 25 | "Running Bear" | Johnny Preston
|
| February 1 | "Running Bear" | Johnny Preston
|
| February 8 | "Teen Angel" | Mark Dinning
|
| February 15 | "Teen Angel" | Mark Dinning
|
| February 22 | "Theme from A Summer Place" | Percy Faith
|
| February 29 | "Theme from A Summer Place" | Percy Faith
|
| March 7 | "Theme from A Summer Place" | Percy Faith
|
| March 14 | "Theme from A Summer Place" | Percy Faith
|
| March 21 | "Theme from A Summer Place" | Percy Faith
|
| March 28 | "Theme from A Summer Place" | Percy Faith
|
| April 4 | "Theme from A Summer Place" | Percy Faith
|
| April 11 | "Theme from A Summer Place" | Percy Faith
|
| April 18 | "Theme from A Summer Place" | Percy Faith
|
| April 25 | "Stuck on You" | Elvis Presley
|
| May 2 | "Stuck on You" | Elvis Presley
|
| May 9 | "Stuck on You" | Elvis Presley
|
| May 16 | "Stuck on You" | Elvis Presley
|
| May 23 | "Cathy's Clown" | The Everly Brothers
|
| May 30 | "Cathy's Clown" | The Everly Brothers
|