Nematic elastomer (NE) is a kind of smart materials which is easily actuated by external fields and generates considerable force. In the present discussion, the vibration of a nematic plate is investigated with the aim to the prospective controlling for energy harvest and transferring. Based on the anisotropic Timoshenko, Reissner–Mindlin plate theory and linear hydrodynamics and viscoelasticity of nematic elastomer in low frequency limit, the governing equation is derived and solved by a hybrid analytical-numerical method under various boundary conditions. The effects of intrinsic parameters like anisotropic parameter, director rotation time and boundary condition on the vibration characteristics of NE plates are discussed in detail. The results give a well indication between the vibration performance and the director dissipation, which is definitely different from classical isotropic viscoelastic plate. This work provides effective information in the process of dynamic design and development of NE-based devices.