A method of broadcasting a succession of contents through a computer network from a broadcasting source (S) to a plurality of receiver terminals able to receive from the source. The method includes, for each content, sending data units conveying the content from the source through the computer network, and supplying the receiver terminals with an indication enabling them to identify each transition between two successive contents, thus enabling the receiver terminals to determine the time of a transition between successive contents more precisely. The data units to be broadcast are marked by modifying the marking of the data units of the successive contents separated by a single transition. The receiver terminals (T) are supplied with marking information enabling them to distinguish between data units belonging to different contents (Cn, Cn+1) with the aid of their marking.