Abstract: The features of low frequency variability and short-term interannual change patterns are analyzed using TEEOF method. The results shows that all first pattern of TEEOF over global and two hemisphere possess more 50% of the variance contributions to total amount of the variance,which of every first pattern of interannual fluctuation represent basically the seasonal variations of climatic annual change and suggest long trend of temperature,e.g. there are a strong rise tendency of temperature in first mode of decade change within winter and its first principal component is consistent with real temperature time series. The eigenvectors of global or southern and northern hemisphere TEEOF indicate each patterns of interannual change of temperature which are different over time and space domain (except the first mode and second mode of seasonal variation during one year range),and corresponding principal components are correlative with the long range variability of interannual quasi-period fluctuation structure. A test method of climatic catastrophe for annual variation pattern by mean of the T² statistics is used in this paper and effect of this method is more reasonable than the general t-test method to the climatic abruption for multi-variables.