Novel method of joining ceramics containing aluminum nitride and another member made of a metal or a ceramic is provided having an improved joining strength and a corrosion-resistant property by joining a first member made of a ceramics consisting of an aluminum compound. The second member is made of a ceramics or a metal, forming a metal film directly on a surface to be joined of the first member interposing a metallic joining material which is made of a different material from the metal film. The metallic joining material is between the metal film and the second member, and by heating at least the metallic joining material and the metal film in such an interposed state to form a joining layer made of the metallic joining material and an intermetallic compound between the first and second members, so as to join the two members.