“Not Giving Up on Love” is a collaboration between Dutch DJ and record producer Armin van Buuren and British singer Sophie Ellis-Bextor. It was released on August 20, 2010 as the second single from van Buuren’s fourth studio album, Mirage, and the fourth single from Ellis-Bextor’s fourth studio album, Make a Scene.

Both “Not Giving Up on Love” and “Can’t Fight This Feeling” have been called anthems by Clixie Music, as well as “international smash singles”.

The song was written by Australian songwriters Olivia Nervo and Miriam Nervo and British singer Sophie Ellis-Bextor. It premiered on BBC Radio 2’s The Dermot O'Leary Show on July 11, 2010 when it was performed in an acoustic version by Sophie Ellis-Bextor. The extended version debuted on Armin van Buuren’s radio show A State of Trance on August 12, 2010.

On December 5, 2010 it was announced that the song entered the 2010 edition of the Q Top 1000 of all time, compiled by listeners of Dutch radio station Q-Music, on number 545. In the 2011 edition of the Q Top 1000 of all time, the song landed at number 409. The song was nominated at the “2011 International Dance Music Awards” in the category of “Best Commercial Dance Track” and “Best Trance Track”, for which it won the award.