Artificial intelligence has significantly advanced computer software and its corresponding services across several fields. Yet, several AI pioneers question the “intelligence” of our current technologies, arguing that their capabilities are limited to systematic observation and generalized description of data. The Arts, including fine and performing Arts, can be seen as an ideal testbed for artificial intelligence as these fields have in the core of their artistic process human creativity, one of the key characteristics of human intelligence. This presentation will review the state-of-the-art methods in the field of Computational Creativity and open discussions on the future of Artificial Intelligence in the Arts.