The music video was directed by Meiert Avis and was filmed outside the Basilica of Sacré Coeur de Montmartre in Paris in March 1983 and portrays the band performing the song, intercut with scenes of an acrobat and other scenes featuring Peter Rowen (the boy who appears on the album cover).

[4] The isolated bassline is the main rhythm on Martin Solveig's 2003 Exotic Disco mix of "Madan", a song originally by Salif Keita.

Cash Box praised the intensity produced by the "pounding bass figures, snap drumming and Bono’s voice.

On the second leg of the War Tour, "Two Hearts Beat as One" began to follow "Surrender" and the two songs segued together.

It made a further subsequent appearance when it was performed as part of the encore at a Lovetown Tour concert on 27 December 1989, in the Point Depot, Dublin.