In a flame arrester arrangement which is formed from two metal strips (8, 9) which are wound together to form a disk having an approximately circular outer circumference and of which a first metal strip (8) is a smooth strip and the second metal strip (9) is a corrugated strip having defined corrugation, the two strips (8, 9), by bearing against one another, forming defined gaps (11) for passage of a fluid and being held in position relative to one another by fixing pins inserted into radial bores (6), the radial bores (6) can be incorporated without deforming the gaps (11) even in the region of the bores (6) by virtue of the fact that the bores (6) are incorporated by spark erosion without deforming the corrugation formed in the second metal strip, such that the gaps (11) are also present in the region of the bores (6) in the manner defined by the corrugation.