There is now an emerging consensus that cryptoassets are property – judges have so held in cases in England and other jurisdictions and it is the unanimous conclusion of independent reports on the topic.1 But what sort of property? The category of property into which cryptoassets are placed has wide implications in areas such as insolvency, security and tax. Two rival schools of thought have developed and the ongoing confusion has led to legal uncertainty. In this article, we argue for the correct categorisation based on a principled explanation of why different categories of property exist and how they apply to cryptoassets.