A digital content processing apparatus and method of a digital video receiver is provided for controlling playback speed of digital content. The method includes receiving content data from a content provision server; buffering the received content data; demultiplexing the buffered content data to extract video data; indexing GOPs including specific frames in the content data; storing running times and file sizes of the GOPs as index data; demultiplexing the stored content data to extract the video data, when a request for a multiple speed playback is input; and decoding the GOPs corresponding to the multiple speed playback in the extracted video data by referencing the index data.