An Internet facsimile apparatus for receiving e-mail data, is connected to a computer network. The Internet facsimile apparatus comprises an e-mail receiver that receives e-mail data transmitted via the computer network. The e-mail data includes a header, document information and image information. Further, the Internet facsimile apparatus comprises a determiner that determines whether or not the document information contains a predetermined data. This predetermined data indicates that the e-mail data is data which was transmitted from an Internet facsimile apparatus. A printer in the Internet facsimile apparatus prints the entire received e-mail data when the determiner determines that the document information does not contain the predetermined data, and prints only the image information when the determiner determines that the document information contains the predetermined data.