In micromechanical pressure sensor device and a corresponding production method, the micromechanical pressure sensor device is provided with a first diaphragm; an adjacent first cavity; a first deformation detection device situated in and/or on the first diaphragm for detecting a deformation of the first diaphragm as a consequence of an applied external pressure change and as a consequence of an internal mechanical deformation of the pressure sensor device; a second diaphragm; an adjacent second cavity; and a second deformation detection device situated in and/or on the second diaphragm for detecting a deformation of the second diaphragm as a consequence of the internal mechanical deformation of the pressure sensor device, where the second diaphragm is developed in such a way that it is not deformable as a consequence of the external pressure change.