This is a list of the Danish Singles Chart number-one hits of 1991 from the International Federation of the Phonographic Industry and Nielsen Marketing Research. They were provided through Music & Media magazine under the "Top 10 Sales In Europe" section.[1]
| Week | Single | Artist | |
|---|---|---|---|
| January 5 | "Alle Børnene" | 2 X Kaj | |
| January 12 | "Alle Børnene" | 2 X Kaj | |
| January 19 | "Alle Børnene" | 2 X Kaj | |
| January 26 | "Alle Børnene" | 2 X Kaj | |
| February 2 | "Alle Børnene" | 2 X Kaj | |
| February 9 | "Alle Børnene" | 2 X Kaj | |
| February 16 | "Hugo Rap" | Skærmtrolden Hugo | |
| February 23 | "Alle Børnene" | 2 X Kaj | |
| March 2 | "3:A.M. Eternal" | The KLF | |
| March 9 | "Take No Crap" | Cut 'N' Move | |
| March 16 | "Take No Crap" | Cut 'N' Move | |
| March 23 | "Take No Crap" | Cut 'N' Move | |
| March 30 | "Take No Crap" | Cut 'N' Move | |
| April 6 | "Joyride" | Roxette | |
| April 13 | "Joyride" | Roxette | |
| April 20 | "Joyride" | Roxette | |
| April 27 | "Joyride" | Roxette | |
| May 4 | "Joyride" | Roxette | |
| May 11 | "Joyride" | Roxette | |
| May 18 | "Joyride" | Roxette | |
| May 25 | "De Sku' Ha' No'En Bank" | Brian Igen-Igen | |
| June 1 | "Last Train To Trancentral" | The KLF | |
| June 8 | "Last Train To Trancentral" | The KLF | |
| June 15 | "Last Train To Trancentral" | The KLF | |
| June 22 | "De Sku' Ha' No'En Bank" | Brian Igen-Igen | |
| June 29 | "De Sku' Ha' No'En Bank" | Brian Igen-Igen | |
| July 6 | "De Sku' Ha' No'En Bank" | Brian Igen-Igen | |
| July 13 | "De Sku' Ha' No'En Bank" | Brian Igen-Igen | |
| July 20 | "The Shoop Shoop Song (It's In His Kiss)" | Cher | |
| July 27 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| August 3 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| August 10 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| August 17 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| August 24 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| August 31 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| September 7 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| September 14 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| September 21 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| September 28 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| October 5 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| October 12 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| October 19 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| October 26 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| November 2 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| November 9 | "Spread Love" | Cut 'N' Move | |
| November 16 | "(Everything I Do) I Do It For You" | Bryan Adams | |
| November 23 | "Good Vibrations" | Marky Mark & The Funky Bunch | |
| November 30 | "Black Or White" | Michael Jackson | |
| December 7 | "Black Or White" | Michael Jackson | |
| December 14 | "Black Or White" | Michael Jackson | |
| December 21 | "Black Or White" | Michael Jackson | |
| December 28 | "Black Or White" | Michael Jackson |