A new method for the derivation of the horizontal distribution of total ozone amounts from the brightness temperature data obtained by the HIRS/2 sensor on board the NOAA satelites was developed. This method is based on the regression method considering a transmittance of the ozone layer, and also includes the second-order terms of the brightness temperatures and the transmittance of ozone layer into the regression calculation. The total ozone data obtained by TOMS were used as the true values in determinating the regression coefficients. The transmittance for the slantwise-looking condition was converted into that for the nadir-looking condition using the angle correction method. Subsequently, the angle correction was also made for the brightness temperature using the corrected transmittance. Horizontal distributions of total ozone amounts were derived by this method with around 4% of accuracy for the wide latitudinal region from 15[degree] to 60[degree], including Japan where total ozone varies largely with latitude. It was demonstrated that inclusion of the second-order terms into the regression improves the accuracy of retrieval, especially in the low-latitude regions. 15 refs., 5 figs., 1 tab.