A method of producing a hermetic package includes forming a first sealing material layer on a first glass substrate, and arranging a frame body having an opening on its top so that a bottom portion of the frame body and the first sealing material layer are in contact, followed by sealing the frame body and the first glass substrate with each other via the first sealing material layer. The method further includes forming a second sealing material layer on an upper edge portion of the frame body, housing, in the frame body, a member, and arranging a second glass substrate to be in contact with the second sealing material layer, followed by sealing the second glass substrate and the frame body with each other via the second sealing material layer by irradiating the second sealing material layer with laser light from a second glass substrate side.