Most of the robot's emphasis is on technology research and development. In the future the robot will coming in human live. But the personal space of robots and humans is rarely studied. When house robot and human stay in the one environment, the robot should not only have avoid obstacles and destination, but also need to take the robot will not interfere with human. This research will be starting in personal space. To explored the research of house robot and personal territory. Explore the relationship of personal space, and distance of human and robot interaction. Compared to the personal space between people, human-computer distance is shorter. When house robot and human at home, house robot face to face being human, it is need keep 128cm. And then, the house robot and human will have good communication and interaction.