Abstract: The present invention relates to an alternate combustion type regenerative radiant tube burner apparatus which comprises a circular plate positioned between a burner unit and a main combustion chamber, so that preheated secondary combustion air is fed through an opening of the circular plate to the main combustion chamber. The burner apparatus has the circular plate (10), an annular air throat (2), a cylindrical peripheral cover (30) and a heat-transfer tube (11,16). A front end portion of the peripheral cover is integrally connected with a peripheral edge portion of the circular plate so as to prevent the secondary combustion air of the air throat from leaking on a periphery of the circular plate to the air diluting chamber (3). According to the present invention, the concentration of nitrogen oxides in the combustion exhaust gas can be definitely prevented from increasing, without being affected by the installation condition or thermal deformation of the radiant tube burner apparatus.