The invention proposes a device for measuring the mass of a flowing medium, in particular the mass of air aspirated by internal combustion engines. The device has a platelike sensor element which is accommodated in a recess of a sensor carrier, and which with a sensor region that has at least one measuring resistor is exposed to the flowing medium in order to measure its mass. The sensor element is accommodated essentially flush in the recess and is retained in the recess by being glued to a bottom face in the recess. The bottom face of the recess of the sensor carrier has a troughlike indentation, which extends at least partially along the circumference of the sensor element outside the sensor region that has the at least one measuring resistor. The device according to the invention is intended to measure the mass of a flowing medium, in particular for measuring the mass of air aspirated by internal combustion engines.