Nowadays, enterprises must be knowledge-driven to be competitive and survive in knowledge economy. It means that knowledge must be a key value-creating resource for such organizations, and knowledge management system shall be embedded into overall enterprise management system. Today, knowledge management is not only a possible best practice of industrial leaders and a topic of academic research, but also a “must have” element of every company. Accordingly, knowledge management has been recently included into ISO 9001:2015 and ISO 30401 standards specifying requirements for knowledge management systems. The main research question of the current paper is how to embed knowledge management requirements of ISO into frameworks for enterprise architecture modeling and management? This paper analyses and summarizes knowledge management-related ISO requirements for enterprise management system and transform them into requirements for domain-specific modeling language. Knowledge management-oriented enterprise modeling frameworks are further studied and compared against ISO requirements. This comparison demonstrates fragmented support of ISO requirements. Thus, the research highlights the need for ISO compliant knowledge-oriented extension for existing, proven EM frameworks and provides requirements for it.