An explosion-proof housing 10 having at least one pressure relief body 15 arranged in a pressure compensation vent opening 14 of one of the housing parts 12, 13. In order to secure the pressure relief body 15 to the housing part 12, a thickened region 20 of the housing part 12 engages over an edge zone 24 of the pressure relief body 15 along its entire peripheral surface 23 on both of its flat sides 16, 17. A resulting engaging depth Si, which is measured parallel to the flat sides 16, 17, is preferably greater than a thickness D1, D2 of the part of the thickened region 20 engaging over the edge zone 24. The pressure relief element 15 consists of sintered wire mesh. This connection is pressure-resistant and stable over a wide temperature range.