The invention discloses a six-axis industrial robot wrist capable of swinging spatially. The six-axis industrial robot wrist comprises an arm, a swinging arm connected to the front end of the arm in a pivoted mode and a rotary hand connected to the front end of the swinging arm in a pivoted mode; the rotary hand comprises a spatial swinging mechanism connected to the front end of the swinging arm in a pivoted mode, the spatial swinging mechanism comprises a horizontal bottom plate, a first threaded rod, a second threaded rod, a horizontal moving body, a telescopic rod and a sphere support, wherein the first threaded rod and the second threaded rod are installed on the horizontal bottom plate in a sliding mode, the horizontal moving body is connected to the first threaded rod and the second threaded rod in a threaded mode, the bottom end of the telescopic rod is movably connected to the horizontal moving body, the top end of the telescopic rod is fixedly connected to a sphere, and the sphere support is fixed to the horizontal bottom plate. The first threaded rod and the second threaded rod are arranged longitudinally and transversely respectively, the sphere is movably installed on the sphere support, and the execution tail end of the rotary hand is installed on the sphere. According to the technical scheme, horizontal longitudinal and transverse movement of the horizontal moving body is converted into free swinging motion of the execution tail end of the rotary hand, and therefore the robot wrist can be operated more flexibly and adapt to various complicated technological requirements.