Abstract: Studies on inter-decadal variability and predicatility have been listed in CLIVAR Programme. This behavior sufficiently display that study on this field is very important, In this paper the progresses of studies on inter-decadal variability in recent years are reviewed especially on global climate warming the relation between inter-decadal variability and atmosphere-ocean interaction therm ohaline circulation natural climate variablity and the inter-decadal variability of ENSO. Finally the development of study on interdecadal variability is disscussed.