A compact is obtained from a mixed powder of a multi-component system ceramics composed of constitutive elements of at least two metal elements selected from the group consisting of Ti, Al, V, Nb, Zr, Hf, Mo, Ta, Cr, and W, N, and optionally C; and Fe, Ni, Co, or an alloy composed of a constitutive element of at least one metal element of Fe, Ni, and Co. A composite material is prepared by sintering the compact.