The invention relates to pressure measurement apparatuses and pressure or force measurement devices for static or dynamic pressure measurement, in particular for high pressures or forces, whose housing contains among other things, a pressure or force measuring cell, e.g. a piezoresistive or capacitive measuring cell. In devices like this, service life and chemical resistance are problematic. The pressure measurement device according to the invention is essentially comprised of a housing (2), a seal (4) between the pressure medium and the inner chamber (2d) of the housing (2), a pressure measuring cell (3), whose first main face (3e) is exposed to the pressure medium and which has a deflection when pressure loaded, which deflection leads to a relative movement between pressure measuring cell (3) and housing (2) in the region of the seal (4). In the region of the seal (4), the housing (2) is embodied so that it has spring-elastic properties. The pressure measurement apparatus according to the invention is comprised of a flange (7) with a conical sealing rib (7b) in the through opening (7f) and a pressure measurement device (9) with a housing (2) that is rotationally symmetrical in the region of the flange (7). The sealing rib (7b) is embodied as an elastic sealing rib.