The main methods are considered for preparing composite ceramic material based on AlN and BN compounds, combining component properties successfully: high thermal conductivity and good mechanical properties of aluminum nitride supplemented by high dielectric properties and easy workability of boron nitride. Methods are provided for preparing ceramics from powder mixtures, i.e., normal sintering, hot pressing, reaction sintering, sintering in a spark discharge (SPS), and also methods making it possible to prepare material with a more homogeneous structure using organic and inorganic precursors.