Collusion attack is one of the techniques used for unauthorized removal of embedded marks. In this paper, we propose a robust 3D mesh fingerprinting scheme for an anti-collusion code. In contrast to the existing robust mesh watermarking which provides unsuitable primitives for anti-collusion code, the proposed method has well-operated capacity to carry the anti-collusion fingerprint code. In order to minimize the detection error, we also modeled the response of the detector and herein present optimized thresholds for our method. Based on the experiments, the proposed method outperformed conventional robust mesh watermarking against collusion attack in all cases.