An Internet fax apparatus and its method are proposed. In the present invention, an Internet fax program capable of functioning together with conventional scanners, printers, or a combination of both, is provided. By connecting to a computer, which has the Internet fax program installed therein, with an image-capturing device, a sound-recording device and a handwriting input device, the present invention can attach video or handwritten attachment to a facsimile file and send it via the Internet. Thus, the present invention reduces the cost of sending a fax and provides a powerful and user-friendly facsimile function.