Nearly 5500 mean-monthly low-stratospheric temperatures at 100, 50 and 30 mb at 16 Antarctic stations have been extracted from ''Monthly Climatic Data for the World'' for the interval 1958--1985. About 450 mean-monthly total-ozone values at 4 Antarctic stations have been extracted from ''Ozone Data for the World'' for the same interval. There has been an impressive in-phase relation between seasonal variations in low-stratospheric temperature and total ozone in Antarctica. This relation extends not only to the large total-ozone and low-stratospheric temperature decreases since 1978 in the Southern Hemisphere spring (approximately 30% and 6--8 ¿C, respectively, based on smoothed data), but also to relatively minor fluctuations in this and other seasons. The springtime stratospheric temperature decreases since 1978 are indicated to have been greatest along the Antarctic coast between about 30 ¿W and 60 ¿E, including the stations of Halley Bay and Syowa; there has been practically no low-stratospheric temperature decrease at stations 10 degrees of latitude further north on the Antarctic stratosphere, or to levels above about 300 mb.