A cutter holder has a body and a damping assembly. The damping assembly is contained inside the body. The damping assembly has a central damping pole and six auxiliary damping poles. The six auxiliary damping poles are arranged around the central damping pole. The body has a specific weight. The central damping pole has a specific weight larger than the specific weight of the body. Each one of the six auxiliary damping poles has a specific weight larger than the specific weight of the body. The damping assembly is utilized to reduce vibrations caused by machining.