The invention provides a continuous production method and system of a heterogeneous system azo disperse dye, and the method comprises the following steps: grinding and pulping a coupling intermediateinsoluble in water or an acid aqueous solution, a dispersing agent, and the water or the acid aqueous solution to obtain a coupling pulping solution, continuously pumping the coupling pulping solutionand a diazonium salt solution into a supergravity machine for coupling reaction, enabling a reaction material to flow into a receiving kettle, forming a circulating system by the receiving kettle, aheat exchanger and the supergravity machine, controlling the liquid level or weight of the receiving kettle, continuously extracting the reaction material into a crystal transformation kettle, and carrying out heating crystal transformation, filter pressing and washing to obtain the azo disperse dye. According to the method, through combination of intermediate grinding, dispersant adding and supergravity machine enhanced reaction, sulfuric acid or hydrochloric acid needing to be added during pulping in a traditional process is reduced or even eliminated, the wastewater amount can be effectively reduced, the reaction efficiency is improved, and the method has obvious advantages in the aspects of reaction retention time, product purity and yield.