preferably within the range of 0 01 to 0 4 part by weight more preferably 0 09 to 0 27 part by weight with respect to one part by weight of the methylsilicic acid powder the range just mentioned is based on the following rationale when the amount of the carbon powder is less than 0 01 part by weight oxygen combining with silicon in the methylsilicic acid powder will not be reduced sufficiently and the oxygen will tend to remain in the produced composite ceramic powder and when it is more than 0 4 part by weight a production efficiency of the composite ceramic powder will be lowered and what is worse a subsequent decarburization will take a great deal of time with regard to a proportion of an aluminum nitride powder which is used in this invention with respect to the methylsilicic acid an amount of the aluminum nitride powder is preferably within the range of 1 0 to 29 0 parts by weight more preferably 2 0 to 20 0 parts by weight with respect to one part by weight of the methylsilicic acid powder the aforesaid range is based on the following rationale when the amount of the aluminum nitride powder is less than 1 0 part by weight the produced silicon carbide coating content will be excessive in comparison with the amount of the aluminum nitride powder and.