Method of fabricating case, piezoelectric oscillator, oscillator, electronic appliance, and radio clock

A method of fabricating a case accommodating a piezoelectric vibrating piece therein in a piezoelectric oscillator including the piezoelectric vibrating piece, includes the steps of: applying deep drawing to a conductive plate member to shape the plate member in a nearly cylindrical shape with a bottom; pressing an inner surface of a bottom part of the plate member by a punch for step drawing while an outer surface of the bottom part is being abutted against a surface including an opening of a hole of a die having an inner diameter smaller than the outer diameter of the bottom part, whereby aprojecting portion is formed on the outer surface of the bottom part; and cutting the plate member having the projecting portion at a predetermined position on the opening side thereof, whereby a case in a nearly cylindrical shape with a bottom having the projecting portion is obtained.