The work aims to analyze the design elements of the intentional stance in Human-Agent Interaction (HAI) and the concrete interaction logic of the agent under the intentional stance. The research is based on embodied cognition, embodied interaction theory, body schema theory, combined with specific design cases, this paper compares the general human-computer interaction with that in HAI, analyzes the composition and interaction elements of the agent in layers, the influence of the intentional stance on the HAI design, and analyzes the structure and logic of the HAI under the intentional stance. The human-computer relationship in HAI is guided by designers to interact under an intentional stance. The agent needs to be designed as an independent individual under the user᾽s intentional stance, and the interaction is embodied. To achieve a good HAI interaction experience, it is necessary to continuously maintain the user's intentional stance in HAI. This requires the construction of a body schema for the interaction of the agent based on the integration of the cognitive experience of the agent, and the establishment of the metaphorical relationship between “image-function-carrier” and “individual-ability-body”, eventually forming HAI interaction logic in the intentional stance.