Through the spectral analyses of the temperature fields in troposphere of the Southern Hemisphere and gradually filtrating analyses, it is revealed that in the atmosphere temperature field in troposphere of the Southern Hemisphere there has been an obvious insistent rising tendency for more than 50 years. The amplitude of the temperature rising gradually increases from low layer to high layer. The yearly rate of temperature rising at the earth surface layer 1 000 hPa is 013 ℃/a, in the middle part of the troposphere 500 hPa it is 0.019 ℃/a, at the upper part of the troposphere 300 hPa it is 0.036 ℃/a. After the trend variations of the atmosphere temperature field in the Southern Hemisphere are filtrated out, it is revealed that in the temperature field in Southern Hemisphere from the earth surface layer to the top of the troposphere, a very obvious periodic variation, which is in accord with the variation of the sun activity with a period of 22 years, prevails. The periodic variation of solar magnetic field leads in phase slightly. Based on analysis it is known that this is the response of the atmosphere climate system of the troposphere in the Southern Hemisphere to the periodic variations of the solar magnetic field. Further analysis also reveals that from the earth surface layer 1 000 hPa to the top of the troposphere, and then to the middle part of the stratosphere 10 hPa, the oscillation phases with a 22-year period component is basically the same. The periodic amplitudes rapidly increase from low layer to high layer. This indicates that the variation of the solar magnetic field has greater effect on the top layer than on the low layer of the troposphere, and on the stratosphere the effect is the greatest. Among them, the 22-year variation period of the temperature field at the earth surface layer 1 000 hPa appears only after the trend variations and the 11-year period are filtrated out. Therefore, the effect of periodic variation of the solar magnetic field on the climate at the earth surface layer is comparatively small, and is often covered up. In the temperature field of the earth surface layer 1 000 hPa in the Southern Hemisphere, after the trend variations are filtrated out, a very obvious periodic variation, which is in accord with the variation of the sun activity with a period of 22 years, appears. Based on analysis it is known that this is the response of the atmosphere climate system of the troposphere in the Southern Hemisphere to the 11-year periodic variations of the solar activity. In the temperature field of the upper layer 300 hPa of the troposphere, after the trend variations and the 22-year period are filtrated out, the 11-year variation period also appears. But for the middle part of the troposphere 500 hPa there is no such case. This tells us that the 11-year period of the solar activity has the greatest effect on the atmosphere climate at the earth surface layer 1 000 hPa, and the effect at the middle and upper layers is weaker.