The persistence of amplitude anomaly of five low order spherical functions of total wave numbers n=0～4 with larger interannual anomaly variance contributions in Northern and Southern Hemisphere in January and July and its relations to tropical Pacific ocean surface temperature year-to-year anomaly(SSTA) are examined on the basis of spherical function coefficients of NCEP/NCAR 500hPa mean monthly geopotential height fields. The result shows that: 1)persistence of amplitude anomaly decreases quickly with the increase of the function n,and apparent persistence exists only in a few extra-long wave components with small n values; 2)amplitude anomaly of even spherical function(n=0) components is of noticeable persistence with seasonal and hemispheric differences;3)the amplitude anomalies of even spherical function components(n=0) of Northern and Southern Hemisphere are quasi-synchronism and so are they with tropical Pacific SSTA in ENSO scales; 4)amplitude anomaly of Southern band spherical function components (nn=2) is also of appreciable persistence, and is quasi-synchronism with tropical Pacific SSTA in interdecadal scales.