Abstract: In a pressure sensor with a housing containing a measuring device which is separated from the housing by a radial gap and comprises a pressure transmitting element, a measuring element, and, if required, a tubular spring for axially preloading the measuring element, and with a sealing membrane tightly and flexibly connecting housing and pressure transmitting element on the side of the medium, the proposal is put forward that at least one heat conducting element be provided between the pressure transmitting element and the housing, which element should be made from material of good thermal conductivity and have a large cross-section for heat conduction, such that most of the heat arising in the region of the pressure transmitting element is carried off to the housing via the heat conducting element, the latter acting as bending or rolling element in the instance of axial shifts between the pressure transmitting element and the housing, and being flexible in axial direction to minimize the transmission of force