The invention relates to a heavy-load parallel movement stabilization platform for offshore drilling. The platform comprises an upper platform, a lower platform, six servo motor movement branched chains and three hydraulic movement branched chains, wherein the upper platform and the lower platform constitute a parallel mechanism; the upper platform serves as a base of an offshore drilling rig for an offshore drilling platform and is connected with the drilling rig by the aid of a threaded hole in the upper platform. Six-degree-of-freedom stable movement of the platform and high-speed and high-acceleration operation of the platform are realized by the aid of the six servo motor movement branched chains, so that the platform has the characteristics of relatively large movement travel, sensitive reaction, relatively large offset and the like; high supporting force of hydraulic cylinders of the three hydraulic movement branched chains plays a role in increasing the load, and thus, the parallel movement stabilization platform can meet use requirements of the large offshore drilling rig. The platform is compact in structure, heavy in load, stable in movement, applicable to parallel stabilization platforms for offshore drilling construction and capable of being widely applied to the robot field and fields of ocean shipping and the like.