  In this work, we develop a hybrid-order Poincar\'{e} sphere to describe the
evolution of polarization states of wave propagation in inhomogeneous
anisotropic media. We extend the orbital Poincar\'{e} sphere and high-order
Poincar\'{e} sphere to a more general form. Polarization evolution in
inhomogeneous anisotropic media with special geometry can be conveniently
described by state evolution along the longitude line on the hybrid-order
Poincar\'{e} sphere. Similar to that in previously proposed Poincar\'{e}
spheres, the Berry curvature can be regarded as an effective magnetic field
with monopole centered at the origin of sphere and Berry connection can be
interpreted as the vector potential. Both the Berry curvature and the
Pancharatnam-Berry phase on the hybrid-order Poincar\'{e} sphere are
demonstrated to be proportional to the total angular momentum. Our scheme
provides a convenient method to describe the spin-orbit interaction in
inhomogeneous anisotropic media.
