Two polymer-glass-waveguide all-optical switches are proposed. One consists of an X-branch channel glass waveguide with a strip of nonlinear polymer on the center top of two-mode region (double width). It is based upon the power-dependent two-mode interference principle. Another is composed of an asymmetric Y-branch glass waveguide with a strip of nonlinear polymer on top of one branch. It is an adiabatic type all-optical switch. Theoretical analyses show that, by properly choosing device structure parameters, low crosstalk or even complete switchings are possible with low optical power.