With the continuous expansion of electromagnetic space applications and increasing operational complexity, spectrum resources show growing dynamism, diverse signal structures, and complex environments—posing serious challenges to traditional spectrum sensing and management. This paper reviews key limitations in current electromagnetic spectrum cognition, such as static deployment, isolated knowledge, and closed-loop cognition, which restrict adaptability, autonomous decision-making, and collaborative perception. To address these, we propose Embodied Intelligent Cognition for Electromagnetic Spectrum Space. This framework integrates distributed mobile embodied agents with programmable RF front-ends to enable multimodal perception and structured understanding of complex environments. It incorporates large models and agent-based mechanisms for task-driven reasoning and decision-making, using federated and continual learning to build an evolving knowledge system, granting “electromagnetic muscle memory.” Finally, the paper analyzes coordination mechanisms and key technologies across three core modules, emphasizing embodied intelligence’s role in real-time perception, proactive regulation, and continuous optimization in complex spectrum spaces, providing theoretical foundations and engineering insights for intelligent cognition and spectrum management across multi-scenario, multi-task environments.