The group was formed in November 1984, during a "debriefing" workshop of the European Peace Marches on the Hartmannswillerkopf in Alsace, France, following the struggle against the installation of Pershing II and SS-20 nuclear missiles in Germany (Mutlangen).
Founders are André Gorz, French philosopher, Dov Lerner, MIT computer graduate and disciple of Saul Alinsky, as well as Gregoire Seither, free radio activist, Frauke Hahn who had led the woman's resistance ('Commons Women') at Greenham Common Women's Peace Camp, David Szwarc from the Israeli Peace movement and Adama Drasiweni, computer graduate from the University of London, future founder of N'DA, Africa's first independent telecom company.
Other members, like Australian co-founder of Indymedia Matthew Arnison, south-African anti-apartheid militant Peter Makema and Israeli peace activists Uri Avnery and Michel Warchawsky, joined later on.
The group ran a number of BBS, among them 'Pom-Pom', devoted to the Apple Macintosh and 'PeaceNet', an "electronic pow-wow" to help social activists and community organizers exchange information around the world, offering free mail accounts and file hosting services.
The Liberty Alliance was particularly active in the popular worldwide resistance to Multilateral Agreement on Investments (MAI) in the mid-1990s, networking multiple groups and providing "open cyberspaces" for activists to share information and experience.