In a facsimile communication method in which facsimile data are transmitted to a reception-side terminal from a facsimile through a communication network, the facsimile transmits facsmile data through the following steps: (a) a step of storing the image data of an original to be transmitted as the facsimile data in a storage device; (b) a step of generating access information used for making an access to the image data stored in the storage device from the reception-side terminal through the communication network; (c) a step of sending the access information to the reception-side terminal by electronic mail; and (d) a step of transmitting the image data stored in the storage device to the reception-side terminal from the facsimile according to the communication protocol of point-to-point data transferring method when the facsimile receives a request to access the image data from the reception-side terminal.