A stackable heat pipe assembly and method of making the same comprising first and second conductive metal plates, a conductive metal tube, and a working pipe is provided. The first and second conductive metal plates have first and second contact sides and first and second attachment sides, respectfully. The first conductive metal plate has a through hole therethrough. The first and second attachment sides have first and second planar central portions and first and second walls, first and second top ledges, and first and second expanded walls theresurrounding, respectively. The conductive metal tube has an inner wall having a wick structure thereon. A plurality of brazing rings are used to braze the working pipe to the through hole and the first and second planar central portions to the first and second attachment rim ends, respectively. Either of the first or second contact sides contacts a heat source and is stackable.