To comprise the light damping performance of the large aperture telescope due to the growing dimension and usage of steel truss, the tuned damping technique was discussed here and a quick approach of Tuned Mass Damping(TMD) would be presented. First and foremost, after being compared with traditional damping strategy, the special damping instrument was chosen as the solution. And then, using dynamic integration method, the simplified model was built to describe the fundamental motion of a large telescope under test. Lastly, according to this large telescope, the TMD was designed to suppress the shifting of the main mirror. Additionally, a testing system with first order natural frequency of 172 Hz was experimented, the response corresponding to frequency was declined after adding the TMD and the TMD for main mirror whose first natural frequency at 14 Hz in the large telescope was designed as 7.015 kg in mass and 5.506 N/mm in stiffness. Hence, a design method based on dynamical model deducing was investigated. Considering the current large telescope damping targets, the TMD was chosen to tune the dynamical response of large telescope. TMD not only contributes to construction of next generation large telescope, but also is a convenient method to update the old ones.