A multi-source self-adaptive low-stress additive manufacturing method that includes arranging one or more high-energy sound beam excitation units on an additive manufacturing platform according to a size and a structure of a metal workpiece; planning an additive path according to the size and the structure of the workpiece; fixing a substrate on a self-adaptive additive manufacturing workbench; conducting additive manufacturing of the workpiece and starting a high-energy sound beam regulation system synchronously to generate high-energy sound beam(s) that are transmitted to the workpiece according to a control sequence; acquiring position information of molten pool(s) and position information of the one or more high-energy sound beam excitation units in the additive manufacturing process; continuously monitoring a surface temperature of the workpiece; and closing the high-energy sound beam regulation system when the additive manufacturing of the workpiece is finished and the surface temperature of the metal workpiece is reduced to room temperature.