The magnetic phase transitions of stage-2 FeCl 3 graphite intercalation compound have been studied using superconducting quantum interference device dc and ac susceptibility measurements in the temperature range between 1.9 and 18 K. The temperature, frequency, and field dependence of aa Ј , aa Љ , cc Ј , and cc Љ clearlyshow that this compound undergoes two kinds of spin-glass phase transition at T SG (h) (Ϸ4.5-6.1 K) and T SG (l) (Ϸ2 -2.5 K), respectively. Both aa Љ and cc Љ have peaks at T SG (h) that shift to the low-temperature side with decreasing frequency. The spin-glass phase below T SG (h) may result from a competition between the antiferromagnetic XY -like Fe 3ϩ spins as the majority and the ferromagnetic Ising Fe 2ϩ spins as the minority. The absorption aa Љ has a peak at T SG (l) that shifts to the low-temperature side with decreasing frequency. No anomaly in cc Љ is observed at T SG (l) , indicating that only the XY components of spins contribute to this transition. The spin-glass transition below T SG (l) may result from a competition between the intraplanar nearest-neighbor antiferromagnetic and next-nearest-neighbor ferromagnetic intraplanar exchange interaction, which is responsible for a possible incommensurate in-plane spin structure at low temperatures. ͓S0163-1829͑98͒01725-1͔