The invention discloses a multi-axis linkage polishing device which comprises a chassis, an X-axis motion mechanism, a Y-axis motion mechanism, a Z-axis motion mechanism, an R-axis motion mechanism, a W-axis motion mechanism, a V-axis motion mechanism, a polishing mechanism and a workpiece clamping mechanism. The W-axis motion mechanism is composed of a W-axis motor, a speed reducer and a swing arm, the speed reducer is fixed to the lower end of a rotary shaft, the output end of the W-axis motor is connected with the input end of the speed reducer, and the swing arm is fixed to an output shaft of the speed reducer. The polishing mechanism is composed of a polishing motor and a polishing head, the polishing motor is fixed to the swing arm, and the polishing head is fixed to an output shaft of the polishing motor. The multi-axis linkage polishing device achieves multistage linkage, different positions of a workpiece to be polished can be polished, the problem that the labor intensity is high during manual polishing is solved, work efficiency is improved, the beneficial effect is remarkable, and the multi-axis linkage polishing device is suitable for application and popularization.