In 1970 he graduated in architecture in the Sapienza University of Rome. In 1987 Celestino Soddu created the artificial DNA of Italian Medieval towns able to generate endless 3D models of cities identifiable as belonging to the idea. In 1989 Celestino Soddu defined the Generative Design approach to Architecture and Town Design in his book "Citta' Aleatorie". Starting from 1998 he is the chair of Generative Art annual international conferences. In the call of the Generative Art conferences in Milan (annually starting from 1998), the definition of Generative Art by Celestino Soddu:
Generative Art is the idea realized as genetic code of artificial events, as construction of dynamic complex systems able to generate endless variations. Each Generative Project is a concept-software that works producing unique and non-repeatable events, like music or 3D Objects, as possible and manifold expressions of the generating idea strongly recognizable as a vision belonging to an artist / designer / musician / architect /mathematician.
In 2012 the new journal GASATHJ, Generative Art Science and Technology hard Journal was founded by Celestino Soddu and Enrica Colabella  jointing several generative artists and scientists in the Editorial Board.