PACS 75.47.De, 75.50.Tt In the present paper, assuming that there is a size distribution described by the log-normal function for the spherical granules in granular films, we take respectively the critical sizes D 1 (T) and D 2 (T) as phenomenological parameters at different temperatures distinguishing single-domain ferromagnetic granules from superparamagnetic granules and from multi-domain granules. Accordingly, magnetic granules can be divided into three categories: superparamagnetic, single-domain ferromagnetic and multi-domain ferromagnetic granules. In view of various contributions to the giant magnetoresistance (GMR) effect, the three kinds of granules are separated into two categories: first ferromagnetic granules (F 1 , consisting of singledomain ferromagnetic granules), which play a key role in the GMR effect; and second ferromagnetic granules (F 2 , including superparamagnetic and multi-domain granules), which play a secondary role in the GMR effect. We combine the effective medium theory with the two-channel conducting model to study the GMR effect of granular films in detail. As a result, our calculated results are qualitatively in agreement with experimental data, showing that the theoretical method is essentially applicable for magnetic granular composites.