A very promising sensor material to detect nitrogen oxide is BaSnO3. The mechanism of NO sensitivity of this metal oxide is supposed to be a surface reaction process. Thus to get a high gas sensitivity the NO elementary sensor is realized as a thin film. The sensitivity of the BaSnO3 thin films to NO is measured as a function of the temperature and the oxygen concentration. As the most important cross-sensitivities, the influence of humidity, methane, ammonia and CO on the sensor signal was examined. The NO sensitivity shows under dry conditions a maximum in the range 450-550 degrees C.