The access method comprises the following steps: selecting a first data item in a digital document designated by a predetermined identifier, said digital document comprising at least first and second data items linked to each other in a chosen hierarchical relationship; verifying the presence of at least one address of a location containing said second data item of the digital document in storage means of the client device; in the absence of said address in said storage means, seeking said address in the network; in the event of a positive search, storing said address in the storage means of the client device; and subsequently accessing said second data item of the document from the address thus stored by anticipation and thus immediately available locally.