Light propagation through optical fibers consisting of a glass core coated with a high refractive index uniaxial dielectric thin film, in turn surrounded by a glass cladding, is presented. The dispersion equations are derived, and mode classifications are established for transverse and hybrid modes. Simulation results of lithium niobate thin film with bulk material dispersion are given as an example of uniaxial film. It is shown that modes are guided mainly in the film and the structure is capable of strong light confinement. Investigation of power flow along the propagation direction shows that the higher the film thickness, the higher the power density in the film.