The invention refers to a method of manufacturing a ceramic composite material comprising matrix and reinforcing materials and an intermediate weak interface material, said composite material being particularly intended for use at temperatures above 1400 °C and in oxidizing environment, the matrix and reinforcing materials consisting of the same or different ceramic oxides having a melting point above 1600 °C, and the interface material providing in combination with said materials a stress field liable to micro-cracking. The invention now suggests that the reinforcing fibre material is immersed into a powder slurry containing carbon (C) and ZrO2 so as to be coated thereby and then dried, after which the composite material is subjected to green forming and densification steps as known per se, and finally a heat-treatment in air leaving a porous structure of the interface material.