Basing on annual temperature data of five century observatories over southeast China and 3 sets of global surface temperature data including HadCRUT3, GISSTEMP and 20~(th) Century Reanalysis,by using of EEMD (Ensemble Empirical Mode Decomposition),a new method to process time series with instability and nonlinearity ,the multi-timescale features of climate change for temperature of weather stations with Shanghai as a representative over Southeast China during 1873 - 2011 and the global consistency of those features are analyzed. Results suggest that temperature of century observatories over southeast China for the time period of 1873 - 2011 show long-term warming trend and multi-quasi-cycle oscillations with multi-timescales including interannual, decadal, and multi-decadal variability. The long-term warming trend component does leading contribution to trend of observatory temperature change over more than 100 years. But for the period of latest 50 years, the multi-decadal oscillation with quasi-64-year period does more contribution than the long-term trend component. Two distinct warming period (represented by 1930's - 1940's and 1990's - early 2000's) during 1873 -2011 show most significant correlation with quasi-64-year oscillation. Meanwhile, the long-term warming trend and interannual-decadal oscillation with 6 ~16-year periods also exert impacts on the distinct warming periods. Quasi-64-year oscillation also plays a fundamental role in periodic transformations for trends of temperature change during the hundreds of years. The above multi-timescale characteristics of temperature change of century observatories have significant global consistency. The quasi-64-year oscillation makes significant contributions to trend variation of annual temperature over north hemisphere. In comparison to long-term warming trend component, the quasi-64-year oscillation of annual temperature of north hemisphere is in closer association with change rate for temperature of centurial observatories. Atlantic Mutidecadal Oscillation may be a factor for modulating the quasi-64-year oscillation of air temperature of centurial weather stations and its global consistency.