An image communication apparatus having an Internet facsimile communication device and a G3 facsimile communication device includes a detector for detecting a facsimile function of a communication partner's apparatus during communication by the G3 facsimile communication device, and a controller for performing control of causing the G3 facsimile communication device to disconnect communication in a G3 facsimile mode and shifting to communication by the Internet facsimile communication device, based on the detection of the facsimile function of the communication partner's apparatus by the detector.