A symmetrical tri-axial parallel spindle head capable of multi-directional fixed-point rotation, comprising three branch chains (2), a moving base (5), and a fixed base (1). A machining spindle (6) is fixedly connected onto the moving base (5). Each of the branch chains (2) comprises a servo motor (22), a branch chain rod (21), a lead screw (23), and a guide nut (25). The lead screw (23) and a linear guide rail (24) are provided in an inner cavity on one end of the branch chain rod (21). One end of the lead screw (23) is connected to the servo motor (22), the lead screw (23) passes through the guide nut (25), and the other end of the lead screw (22) is connected to the branch chain rod (21) by means a rotating pair. The guide nut (25) is mounted on the linear guide rail (24) and is rotatably connected to the fixed base (1) through a first support disc (26). The other end of the branch chain rod (21) is rotatably connected to the moving base (5) through a second support disc (28). The symmetrical three-axial parallel spindle head not only can enable the tool to achieve multi-directional fixed-point rotation around any point within a certain range of the internal space of the moving and fixed platforms merely by the parallel spindle head structure itself, but also can achieve multi-directional fixed-point rotation around the tool tip point; and the spindle head structure is symmetrical, and the motion characteristic is also symmetrical.