Based on numerical modeling, the possibility of using measurements of the transmittance and outgoing thermal radiation of the atmosphere along inclined routes in the microwave spectrum are considered for establishing vertical profiles of the content of carbon monoxide and nitrous oxide. A technique is proposed which would make it possible to obtain the atmospheric transmittance function for the entire route of radiation based on measurements of outgoing radiation along inclined directions. The precision of the technique amounts to 10** minus **3-10** minus **2 of the transmittance. The maximal precision of the CO and N//2O content profiles is quite high, amounting to approximately 0. 7% and 4%, respectively, in the range of altitudes 5-45 km. The ″real″ precision of the CO and N//2 profiles amounts to 15-20% and 10-30% in the range of altitudes 5-35 km.