A moving image processing method and apparatus for efficient access to a large amount of moving image data. By the hierarchical structure of storage media for storing the compressed moving image data, when reproduction of compressed moving image data is displayed, the data can be transferred with an adjustment of the transfer speed to a predetermined display speed of the moving image. More specifically, the compressed moving image data is transferred from a first storage medium having a large capacity and a slow access speed to a second storage medium having a small capacity and a fast access speed and further transferred from the second storage medium to an expander which expands the data and displays the expanded data. The compressed moving image data and the corresponding administrative information are stored separately in different storage media which are accessible independently of each other. However, the moving image data and the administrative information are regarded as one logical file, preventing an access conflict of the moving image data and the administrative information. Thus efficient access and reproduction of moving image data can be performed.