When the structure size is reduced to the micro-and nano-scale,a new mechanoelectric coupling effect,the flexoelectric effect,cannot be ignored.The governing equations and boundary conditions for the sound insulation problem of thin plate acoustic metamaterial structure with the flexoelectric effects were de-rived by means of the variational principle.The sound insulation curves of thin plate mass blocks were predicted based on the Kirchhoff theory.The effects of flexural effects,geometric sizes and mass densities on the sound insulation performances of the structure were systematically discussed.The results show that,for the micro-and nano-scale structure sizes,the flexoelectric effect significantly increases the sound insulation valley values and peak frequencies of the sound insulation curves,so it is necessary to consider the flexoelectric effects.This work provides a theoretical basis for the research of noise control in MEMS.