An image forming apparatus has an image forming unit together with a fixing unit which uses two rotating members to form a nip in which the recording material with an unfixed image is fed. A driving unit drives the rotatable fixing members and a flywheel is used for increasing an inertial force of that drive, there also being a connecting device which selectively connects the flywheel with the driving unit together with a switching device that switches operation of that connecting device in accordance with the type of recording material being used or the density of the image to be printed.