Transmitting and receiving methods of an Internet facsimile system are disclosed. The Internet facsimile system includes a telephone network, a transmitting network, a server and an office machine. The server has therein a network interface and a memory unit. The office machine includes a data storage means and network interface. The office machine transmits a fax through the telephone network and establishes a connection with the server through the transmitting network. The storage means has a memory capacity much less than that of the memory unit. Therefore, the transmitting and receiving methods of an Internet facsimile system capitalize on the tremendous memory capacity provided by the server as an intermediate storage such that the memory shortage of the office machine is avoided.