The amdogous evolution of monthly mean circulation over the Northern Hemisphere have been, overall and in detail, analysed by utilizing strict statistical method and observation data for long-time sequence.The results show that the analogue of the monthly mean anomalous fields between two different years gets gradually worse from a certain starting analogous month onwards, but about 6 months afterwards the analogue again occurs. This is the so-called analogous rhythms phenomenon for about six months in the evolution processes of long-term weather anomaly.