The invention discloses a type of glass floating ball fixing clampers used for connecting glass floating balls and an anchor system main rope. The fixing clampers comprise two clamping boards which can be combined into a pair, and a plurality of bolt assemblies. The two clamping boards are provided with a pair of first bolt holes for connecting the clamping boards to the glass floating balls on the flange by the bolt assemblies. The clamping surfaces of the two clamping boards are provided with rope grooves for holding the main rope, wherein the cross sections of the rope grooves are arc-shaped. Second bolt holes are provided on the two sides of the grooves, for fasten the main rope with the bolt assemblies. With the clampers, reliable connections between the glass floating balls and the anchor system main rope can be realized. Because all the components are standard components, the clampers can be quickly installed in a standardized manner, without damaging the stability and firmnessof the original anchor system structures. Further, the invention discloses an anchor system comprising the glass floating ball fixing clampers.