The medium has script files including additional information about moving picture data, e.g., scene descriptive text and introduction of characters, etc. In addition, information linking each script file with a section of moving picture data to be presented with contents of the script file is included in a link data file or is contained in a filename of the script file. In reproduction of the recording medium, a script file linked with presently reproduced moving picture data section is determined and searched for based on the link data file or every filename of the script files, and contents of the found script file are presented together with the presently reproduced moving picture data. Furthermore, previously presented additional information is removed depending on data or filename of the found script file.