A multi-source self-adaptive low-stress additive manufacturing apparatus including a multi-axis manipulator additive manufacturing system, a high-energy sound beam regulation system, a substrate and a self-adaptive additive manufacturing workbench. The multi-axis manipulator additive manufacturing system includes multi-axis manipulator(s), welding torch(es), manipulator controller(s) and a guide rail, where base(s) of the multi-axis manipulator(s) is connected with the guide rail, the welding torch(es) is held by distal end(s) of the multi-axis manipulator(s), the multi-axis manipulator(s) is controlled by the manipulator controller(s) to move the welding torch(es) to conduct low-stress additive manufacturing on the workpiece to be additive manufactured. The high-energy sound beam regulation system includes one or more high-energy sound beam exciters, each having a high-energy sound beam excitation unit and a titanium alloy special adiabatic amplitude transformer so as to realize the regulation of residual stress generated in the additive manufacturing process of the workpiece.