The invention discloses a large-tonnage FRP stay cable anchoring method. The method comprises steps: forming a taper variable stiffness load transmission medium on a FRP stay cable anchoring region, wherein the variable stiffness load transmission medium being formed by fiber yarns which are winded along a length direction of the FRP stay cable anchoring region in a segmented manner through mouldpressing, heating, and solidifying, using fiber yarns in different kinds in different segments, to form variable stiffness load, the fiber yarns being soaked by resin before being winded; along an axial direction of the variable stiffness load transmission medium, cutting a plurality of kerfs; using a taper anchorage device matched with the taper variable stiffness load transmission medium to anchor. The anchoring method is advantaged by simple manufacturing, easy control, good coordination force property, high anchoring efficiency, continuous variation of load transmission medium stiffness, and more uniform load transmission medium stiffness. Fiber content and transverse stiffness of the variable stiffness load transmission medium gradually increase from a loading end to a free end, to relieve or eliminate notch effect of the loading end of the FRP stay cable, and prevent lateral shearing damages from preceding tensile damages of the large-tonnage FRP stay cable caused by stress concentration.