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| Date | Title | Country | Details |
|---|---|---|---|
| 1/6 | The Lion Sleeps TonightDetailsArtist: The Tokens · Weeks at No. 1 that month: 1 | United States | Artist: The Tokens · Weeks at No. 1 that month: 1 |
| 1/13 | The TwistDetailsArtist: Chubby Checker · Weeks at No. 1 that month: 2 | United States | Artist: Chubby Checker · Weeks at No. 1 that month: 2 |
| 1/27 | Peppermint TwistDetailsArtist: Joey Dee and the Starliters · Weeks at No. 1 that month: 1 | United States | Artist: Joey Dee and the Starliters · Weeks at No. 1 that month: 1 |
| 2/3 | Peppermint TwistDetailsArtist: Joey Dee and the Starliters · Weeks at No. 1 that month: 2 | United States | Artist: Joey Dee and the Starliters · Weeks at No. 1 that month: 2 |
| 2/17 | Duke of EarlDetailsArtist: Gene Chandler · Weeks at No. 1 that month: 2 | United States | Artist: Gene Chandler · Weeks at No. 1 that month: 2 |
| 3/3 | Duke of EarlDetailsArtist: Gene Chandler · Weeks at No. 1 that month: 1 | United States | Artist: Gene Chandler · Weeks at No. 1 that month: 1 |
| 3/10 | Hey! BabyDetailsArtist: Bruce Channel · Weeks at No. 1 that month: 3 | United States | Artist: Bruce Channel · Weeks at No. 1 that month: 3 |
| 3/31 | Don't Break the Heart That Loves YouDetailsArtist: Connie Francis · Weeks at No. 1 that month: 1 | United States | Artist: Connie Francis · Weeks at No. 1 that month: 1 |
| 4/7 | Johnny AngelDetailsArtist: Shelley Fabares · Weeks at No. 1 that month: 2 | United States | Artist: Shelley Fabares · Weeks at No. 1 that month: 2 |
| 4/21 | Good Luck CharmDetailsArtist: Elvis Presley · Weeks at No. 1 that month: 2 | United States | Artist: Elvis Presley · Weeks at No. 1 that month: 2 |
| 5/5 | Soldier BoyDetailsArtist: The Shirelles · Weeks at No. 1 that month: 3 | United States | Artist: The Shirelles · Weeks at No. 1 that month: 3 |
| 5/26 | Stranger on the ShoreDetailsArtist: Mr. Acker Bilk · Weeks at No. 1 that month: 1 | United States | Artist: Mr. Acker Bilk · Weeks at No. 1 that month: 1 |
| 6/2 | I Can't Stop Loving YouDetailsArtist: Ray Charles · Weeks at No. 1 that month: 5 | United States | Artist: Ray Charles · Weeks at No. 1 that month: 5 |
| 7/7 | The StripperDetailsArtist: David Rose · Weeks at No. 1 that month: 1 | United States | Artist: David Rose · Weeks at No. 1 that month: 1 |
| 7/14 | Roses Are Red (My Love)DetailsArtist: Bobby Vinton · Weeks at No. 1 that month: 3 | United States | Artist: Bobby Vinton · Weeks at No. 1 that month: 3 |
| 8/4 | Roses Are Red (My Love)DetailsArtist: Bobby Vinton · Weeks at No. 1 that month: 1 | United States | Artist: Bobby Vinton · Weeks at No. 1 that month: 1 |
| 8/11 | Breaking Up Is Hard to DoDetailsArtist: Neil Sedaka · Weeks at No. 1 that month: 2 | United States | Artist: Neil Sedaka · Weeks at No. 1 that month: 2 |
| 8/25 | The Loco-MotionDetailsArtist: Little Eva · Weeks at No. 1 that month: 1 | United States | Artist: Little Eva · Weeks at No. 1 that month: 1 |
| 9/1 | SheilaDetailsArtist: Tommy Roe · Weeks at No. 1 that month: 2 | United States | Artist: Tommy Roe · Weeks at No. 1 that month: 2 |
| 9/15 | SherryDetailsArtist: The Four Seasons · Weeks at No. 1 that month: 3 | United States | Artist: The Four Seasons · Weeks at No. 1 that month: 3 |
| 10/6 | SherryDetailsArtist: The Four Seasons · Weeks at No. 1 that month: 2 | United States | Artist: The Four Seasons · Weeks at No. 1 that month: 2 |
| 10/20 | Monster MashDetailsArtist: Bobby "Boris" Pickett and the Crypt-Kickers · Weeks at No. 1 that month: 2 | United States | Artist: Bobby "Boris" Pickett and the Crypt-Kickers · Weeks at No. 1 that month: 2 |
| 11/3 | He's a RebelDetailsArtist: The Crystals · Weeks at No. 1 that month: 2 | United States | Artist: The Crystals · Weeks at No. 1 that month: 2 |
| 11/17 | Big Girls Don't CryDetailsArtist: The Four Seasons · Weeks at No. 1 that month: 2 | United States | Artist: The Four Seasons · Weeks at No. 1 that month: 2 |
| 12/1 | Big Girls Don't CryDetailsArtist: The Four Seasons · Weeks at No. 1 that month: 3 | United States | Artist: The Four Seasons · Weeks at No. 1 that month: 3 |
| 12/22 | TelstarDetailsArtist: The Tornados · Weeks at No. 1 that month: 2 | United States | Artist: The Tornados · Weeks at No. 1 that month: 2 |