The problem of a finitely long circular cylindrical shell of cylindrically orthotropic piezoelectric/piezomagnetic composite under pressuring loading and a uniform temperature change is analytically investigated in detail. The analytical solution is obtained through the power series expansion method and the Fourier series expansion method. Numerical results are presented and compared for two-layered piezoelectric/piezomagnetic composite circular cylindrical shells with different stacking sequences under inner pressuring loading.