The theory of ac conductivity and Hall mobility for solid systems which consist of anisotropic crystals with random dielectrical inclusions is developed. In the present paper we use the effective-medium theory. The large-frequency region, where ω < τ—1 (τ is the electron mean free time) is investigated. It is shown that in the strong frequency dispersion region both real and imaginary parts of conductivity and Hall mobility follow a power-law behavior ωS with high anisotropic exponent S which may be used for the interpretation of experimental data in oxides.