In this paper, a nonsteady atmosphere-earth surface coupled anomaly model is used to conduct both comparative experiments on the physical processes of model and monthly forecasting experiments for anomaly fields. It is shown that after further improvement it is hopeful for the anomaly model with two-hour time step to do monthly forecasting of anomaly fields by taking long period time integration. The comparative experiments show that the interaction between the atmosphere and the surface has significant influence on the long range variation for both atmospheric geopotential anomalies and surface temperature anomalies, and transient eddy transport has also certain effects on the variation of anomaly fields.