Abstract: An apparatus for metal additive manufacturing and electrical discharging is used to machine a metal powder into a rigid body, and includes an apparatus frame unit, an additive manufacturing unit, and an electrical discharge machining unit. The additive manufacturing unit includes a powder applying unit for applying a layer of the metal powder onto a processing lift table of the apparatus frame unit, and a laser unit for heating a part of the metal powder within an imaginary contour line to form the rigid body. The electrical discharge machining unit includes a powder removing member for removing a part of the metal powder proximate to the imaginary contour line, and an electrode member for machining the rigid body via electrical discharge.