The Autonomy Economy represents a transformative phase in our society, driven by the integration of autonomous machines such as autonomous vehicles, delivery robots, drones, and more into the provision of goods and services. Central to this revolution is Autonomous Machine Computing (AMC), the computing technological backbone enabling these diverse autonomous systems. This article delves into AMC's critical role in fostering the Autonomy Economy. Originally confined to basic robotics and industrial applications, these autonomous machines now permeate everyday life, signaling a move towards the Autonomy Economy era. For example, in China, when you check into a hotel, it's likely that a delivery robot is going to bring what you need to your room.