Composite ceramic materials and a method of the same are disclosed, in which a ceramic material mainly containing silicon nitride, and at least one compound selected from a group consisting of nitrides, carbides, borides, silicides, oxides and oxynitrides of elements belonging to IIIa, IIIb, IVa, IBb, Va, VIa and VIII are combined to form a sintered body, and particles and whiskers of the ceramic material and compound are interlocked with each other and fixed so that the sintered body has a porosity of 5 to 30%. In the above composite ceramics, the particle of the compound are coupled with each other through the whisker or particle of the ceramic material. Accordingly, the composite ceramics are small in charge rate of size due to sintering, and are excellent in tenacity, heat resisting property and thermal shock resisting property. Further, the resistivity of the sintered body can be varied by changing the mixture ratio of ceramic material and compound.