A burner case and a burner device provided with the burner case are disclosed. A cover for closing an opening of a case body of the burner case is attached to the case body by a first caulking portion and a second caulking portion. A first caulking direction and a second caulking direction intersect with each other, the first caulking direction is a direction in which a first attachment piece and a first facing portion, those constituting the first caulking portion, face each other and are caulked, the second caulking direction is a direction in which a second attachment piece and a second facing portion, those constituting the second caulking portion, face each other and are caulked. Thus, the case body and the cover are not required to be screwed or the number of the screws is reduced, and leakage of gas from the burner case to outside is prevented.