The private sector is leading the deployment of emerging technologies such as artificial intelligence (AI), which is used for various applications including satellite collision avoidance and spacecraft operations management. However, these technological advancements may pose a number of challenges for traditional space law. This paper will focus the concept of liability for damage caused by space objects that incorporate AI through the lens of national space legislation, examining examples from various countries including the Netherlands, Indonesia, Australia, South Korea, and the United Arab Emirates. Based on this analysis, recommendations will be provided for regulating AI in the context of space activities, taking into account the European approach to AI governance and liability.