A ceramic circuit board comprises: a ceramic substrate with a 1.0 mm thickness or less including a first surface and a second surface, the first surface including a first area and a second area; a first metal plate joined to the first area; and a second metal plate joined to the second surface. The second area has a first waviness profile along a first side of the first surface, the first waviness profile having one extreme value or less. The second area has a second waviness profile along a second side of the first surface, the second waviness profile has not less than two nor more than three extreme values.