A dial-up internet facsimile apparatus comprises a modem that makes dialup connection to a service provider of e-mail via telephone line, an operation section that has a stop button, and an e-mail reception section that receives e-mail data from the connected service provider. When the stop button is pressed while receiving the email data, the e-mail reception section disconnects the connection to the service provider without waiting for the completion of the reception of the email data. This procedure prevents unnecessary telephone charges.