This article presents a passive constrained layer damping with lattice composites (PCLDLC)-a lattice structure composed of the poly lactic acid (PLA) and rubber damping materials-to suppress the torsional vibration of the rotor system. Firstly, to improve the efficiency greatly, the equivalent elastic properties and loss factor of the homogenized model for lattice composites are estimated through the asymptotic homogenization (AH) method and the modal strain energy method, respectively. In addition, the function expression of its equivalent material properties is derived by applying the polynomial fitting method. Subsequently, the installation position of the PCLDLC is determined according to the results of global sensitivity analysis, thereby establishing the dynamic model of the rotor system with the PCLDLC. Furthermore, a parametric analysis is performed to evaluate the influence of the parameters on the effectiveness of this proposed PCLDLC, and the genetic algorithm is applied to solve the structural parameter optimization issues of this PCLDLC. Finally, experimental verification is conducted. The results indicate that the PCLDLC with lattice composites can efficiently suppress the torsional vibration of the rotor system. In experiments, the maximum amplitudes of four disks for the rotor system with the PCLDLC decreased by 53.79%, 50.1%, 39.83%, and 45.16%, respectively, compared to the system without this PCLDLC.