In order to consider the dimensionality and the interaction between conduction electrons and localized magnetic moments, angular dependences of the magnetoresistance of magnetic GIC's, stage-1 and stage-2 MCl 2 GIC's (M=Cu and Co) were measured. The c-axis (perpendicular to the graphite layers) resistance of stage-1 CuCl 2 GIC shows a typical angular dependent magnetoresistance oscillation (ADMRO) which is commonly observed in several quasi two-dimensional (2D) electron systems with a periodically-warped cylindrical Fermi surface. This proves a band conduction along the c-axis in spite of extremely large anisotropy in conductivity (ρ c /ρ a = 10 5 ). On the other hand, stage-2 CoCl 2 GIC shows a larger MR for the magnetic field along the c axis than that along the graphitic plane. In addition, ADMRO is absent in this compound. These suggest that the c-axis conduction is governed by incoherent interlayer hoppings. The angular dependence of MR in stage-2 CuCl 2 and stage-1 CoCl 2 GIC's show an intermediate behavior between that of stage-1 CuCl 2 GIC and stage-2 CoCl 2 GIC. The above material-dependence is attributed to the difference in interlayer coupling and suggests a dimensional crossover from a highly anisotropic three-dimensional (3D) system (stage-1 CuCl 2 GIC) to an almost pure 2D system (stage-2 CoCl 2 GIC). The c-axis resistances of stage-1 and stage-2 CoCl 2 GIC's reflect also the magnetic states of Co spins. This phenomenon is explained in terms of a model based on spin-dependent tunneling effect.