A sensor device, particularly for determining the oxygen content in exhaust gases of internal combustion engines, having a sensor element that is surrounded gas-tight by a seal and fixed in a housing. The seal (19) is inserted as a pre-sintered, deformable sealing body (19') into the housing (12), between a ceramic molded body on the side of the measured gas and a ceramic molded body on the connection side (18, 20); the pre-sintered sealing body (19') can be deformed under pressure. The ceramic molded parts (18, 20) and the sealing body (19') have respective axially-extending throughgoing holes (32, 42, 52). The sealing body (19') has formed-on structures that narrow the cross section of the throughgoing hole (42) and are deformed by the sensor element (22) when the sensor element (22) is inserted such that the sensor element (22) is stopped, arrested or fixed in the installed position in the throughgoing hole (42) by the formed-on structures. The facing end faces of the ceramic molded parts (18, 20) and of the sealing body (19') each have form-fitting engaging elements that engage one another and rest against the opposite, touching end faces, which engaging elements orient the ceramic molded parts (18, 20) and the sealing body (19') radially such that the respective throughgoing holes (32, 42, 52) extend in alignment with one another.