A network facsimile machine (1) is connected to PSTN (3) such that it can receive fax data from a remote facsimile machine (2) over the PSTN (3). The network facsimile machine (1) is also connected to LAN (6) such that it can deliver the received fax data to a designated recipient (4 or 5) on the LAN (6). When a communication control unit (11) of the network facsimile machine (1) receives a ring signal over the PSTN (3) from the remote facsimile machine (2), it performs a communication procedure with the remote facsimile machine (1) and receives data identifying a network final recipient (4 or 5) to which the fax data will be delivered. The network facsimile machine (1) then references a delivery recipient table (12) based on the data identifying the final recipient, and reads out the reception capabilities of the identified recipient. The network facsimile machine (1) then declares the reception capabilities of the identified recipient to the remote facsimile machine (2), and the subsequent facsimile transmission proceeds at transmission parameters within the capabilities of the recipient. When the fax data is received from the remote machine (2), it is delivered as-is, without conversion, to the identified recipient since the fax data is sent from the remote facsimile machine (2) in accordance with the recipient's capabilities.