Due to its excellent duetility, the flexible eleetronie device, which is based on the island-bridge strueture, has wide applieations in wearable skin eleetronies and aerospaee. Lead zireonate titanate ( PZT) is an ideal material to fabrieate the island-bridge strueture for flexible eleetronie deviees, beeause of its exeellent eleetrieal and meehanieal properties. However, those kinds of deviees would work in a eomplex environment, and their stabilities would be influeneed by the eomplex environment. Therefore, dynamie behaviors of the buekled island-bridge strueture will be investigated in this paper. Firstly, based on the theory of Timoshenko beam, the governing equation of the buekled piezoeleetrie island-bridge strueture with fixed ends is derived. Seeondly, the Galerkin method is utilized to transform the partial differential equation into an ordinary differential equation. Thirdly, the geometrie integral method is used to solve the eorresponding dynamie equations. Finally, through several numerieal examples, effeetiveness and advantages of the geometrie integral method are verified, and influenees of temperature ehange and voltage on the dynamie response of the buekled island-bridge strueture are diseussed. The results of this paper would be useful to guide design of piezoeleetrie island-bridge-based flexible eleetronies.