The music video was directed by Meiert Avis and was filmed on 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). Unlike the other videos from the album, it has never been included on any of the band's video compilations.
The song was first played in concert on 26 February 1983, at the first show of the War Tour and was played at almost all concerts on that tour. On the second leg of the War Tour, "Two Hearts Beat as One" began to follow "Surrender" and the two songs segued together. This transition survived to the Unforgettable Fire Tour. However, on the third leg of the Unforgettable Fire Tour, "Two Hearts Beat as One" was separated from "Surrender" and it was played less frequently. Its last tour appearance on 29 April 1985, in Atlanta. 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. The song was not played live again for 25 years until a New York concert during the Innocence + Experience Tour.