Abstarct: In this study, energy method and first-order shear deformation theory is used to derive the governing equations of inhomogeneous piezoelectric cylindrical shell under thermal, electrical and mechanical load and then solution of the governing equations is expressed. Results are derived for thermal, electrical, mechanical and electro-thermo-mechanical load under different boundary conditions and are compared with the results obtained from finite element method analysis. The results show that first order shear deformation theory predict the temperature field carefully and with a slight difference from finite element results but the results for the displacement field and the electric potential using the first order shear deformation theory due to nonlinear behavior is different from finite elements method. Also the effect of Heterogeneity of materials on thermal, electrical and mechanical behavior of object using first-order shear deformation theory is studied. The results show that using the heterogeneity of the material thermal, electrical and mechanical behavior of object can be changed and reduce the effect of loading.