An aim to reach may be on one hand, to allow the reading of a content stored by a digital video recorder from a decoder of the local network regardless of the time elapsed between storage and reading, and on the other hand to prevent the transfer or improper copying of the content stored from one network to another. An aim may be achieved by a method of an embodiment, for transmitting digital data in a local network including members constituted by at least one first multimedia unit having a content storage device and at least one second multimedia unit intended to restore the content. The first multimedia unit may be connected, on one hand, to a broadcasting server of encrypted digital audio/video data and on the other hand to the second multimedia unit, each member possessing a security module including a network key. The first multimedia unit receives and decrypts the encrypted data forming a content broadcasted by the broadcasting server and re-encrypts the content previously decrypted. The method of an embodiment may include steps wherein the content is re-encrypted with a random key and transmitted to the second multimedia unit accompanied by an authorization block including the random key encrypted with the network key, the second multimedia unit decrypts the authorization block, and extracts the random key to be used for decrypting the content.