Two important problems in the study of the Earth rotation dynamics are introduced:
    1. Stochastic excitations of the Chandler wobble. Based on the investigation on the possible exciting sources of the Chandler wobble, stochastic motion is found to excite the wobble with the highest possibility compared with the other exciting sources. A dynamical model to study the Chandler wobble is proposed and the corresponding statistic analysis are pressed from both views of theory and numerical simulation. The future route of researching this problem is stated.
    2. Dynamics of the Earth interior. This is a popular problem in geodynamics at present. Its developing tendency and our future research plan are described.