This band moniker "The Bleeding Heart Band" first appeared for Waters's contribution to the soundtrack of the film [url=https://www.discogs.com/Various-When-The-Wind-Blows-Original-Motion-Picture-Soundtrack/master/56021]When The Wind Blows[/url] in 1985, and the band existed until 1990 featuring on Radio K.A.O.S. and The Wall (Live In Berlin).

For the following years Roger Waters did not use the Bleeding Heart Band name, even though several of the members (such as Broad, Fairweather-Low, and backing vocalist Katie Kissoon) had long been part of his band. For his "The Wall Live tour" (2010-2013), Waters introduced his musicians as the Bleeding Heart Band once again.