<p>New features of localized state formation near nonlinear planar defect are found and analyzed. Equations modeling a thin-film slab structure with nonlinear properties separating gradient crystal with a hyperbolic profile of the refractive index and the Kerr nonlinear crystal, which can be considered as a planar optical waveguide, are formulated. The problem use the nonlinear Schrödinger equation where the propagation constant is the eigenvalue corresponding to the transverse electric field distribution (the wave function). The exact solutions to the formulated problem and dispersion equations describing the localized and excited states in the cases of self-focusing and defocusing nonlinear responses of the Kerr nonlinear crystal are obtained. Combinations of defect parameter signs, in which an increase or decrease in the depth of field penetration into crystals is observed, as well as a change in the magnitude of its intensity are indicated. The influence of the hyperbolic gradient profile parameters on the dispersion curves and the shape of the spatial distribution of the field are described.</p>