The recent advances in technology, and particularly artificial intelligence, are having an extremely profound effect on very diverse sectors, including that of the judiciary in its various manifestations. The work presented here analyses some of the more recent developments in artificial intelligence in the field of the application of law, with the aim of discerning the point up to which we are approaching the idea – not so utopian now  – of the AI judge and the automated application of law. The analysis is structured in three different areas, which are at the same time complimentary: firstly, there is an analysis of the conceptual aspect (what distinct elements and activities involve the judicial application of law, with the aim of determining what processes would be necessary to automate in order to be able to speak of an “AI judge”); secondly, a number of recent technologies and applications are presented which would influence in some way the application of law, with the purpose of determining at what point we would find ourselves with respect to a process of automation; and finally, there will be a brief reflection on the possible positive or negative effects an automation of the application of law would involve.