The secure circulation of digital documents to be reproduced includes providing each user with a smart card containing identification information associated therewith, and identifying from a server connected to a digital data transmission network the smart card connected thereto. Information identifying a document to be played back is transmitted to the server from a terminal connected to the smart card. In response, a decryption key specific to the document to be reproduced is transmitted to the smart card for storing therein. The document to be played back is decrypted using an adapted reader connected to the smart card, and includes the stored decryption key for document playback with the reader. Information identifying the readers is inserted into the smart card, and fraudulent use of the smart card is determined according to the reader identification information stored in the smart card.