Recently many kinds of transmitting techniques have been developed, and a communicating network system with a very high transmission-rate has been constructed. Broad-band internet system may be one of the most useful communicating network systems. In this paper, a transmitting process of holographic 3D moving pictures accompanied by stereo sounds over the communicating network system is presented. It involves a transmitting technique of the hologram, in which holographic information of 3D moving pictures are recorded as fringe patterns. First, the information in the hologram is transformed into a bit stream data, and then it is transmitted over the internet system with stereo sound wave. We call it simply as "network streaming technique". It is shown that by an application of this technique, the holographic data of 3D moving pictures are transmitted in high quality, and relatively good reconstruction of holographic images are performed with nice stereo sounds. It suggests that based on "network streaming technique", a new transmitting process of holographic 3D moving pictures employed MPEG-4 and stereo sound wave can be rigorously developed, and it seems to play an important role in the transmission of 3D moving pictures accompanied by stereo sounds over the network.