An abrasive composite, a method for making the abrasive composite, and a polishing apparatus using the abrasive composite are disclosed. The abrasive composite includes a matrix and a plurality of nano-particles distributed therein. The nano-particles are made of at least nano carbon sphere particles and fullerene particles. A ratio by weight of the nano carbon sphere particles to the fullerene particles is advantageously in the range from about 1:2 to about 1:1. The fullerenes are preferably C.sub.60 fullerenes. The abrasive composite further includes an amount of diamond particles admixed in the matrix, for improving hardness of the abrasive composite so as to accelerate polishing rate. The abrasive composite is preferably in a form of pellets. The pellets have an average grain size in the range from about 10 nanometers to about 200 nanometers.