Abstract Motivated by recent observational evidence that seasonal processes occur within Saturn's stratosphere, we have constructed a seasonal stratospheric climate model. This model predicts stratospheric temperatures, above the P = 0.1-atm level, as a function of time throughout the Saturnian year. Specific results are presented for South-polar and equatorial temperatures. The model predicts that substantial seasonal phase lags exist; maximum stratospheric temperatures at the South pole occur at the Southern Hemisphere's autumnal equinox. Brightness temperature observations at 17.8 μm, taken during 1977/1978, indicate that stratospheric temperatures are greater at the South pole than at the equator. The model is consistent with these observations, predicting enhanced South-polar temperatures, relative to the equator, from 1975 to 1983.