Electrochemical properties of graphite fluorides and fluorine- and transition metal fluoride-graphite intercalation compounds have been reviewed. Graphite fluoride is discharged by intercalation of lithium ion into CF layers, forming a thin diffusion layer. Discharge potential and capacity strongly depend on the crystallinity of graphite fluoride and a small amount of active fluorine existing in graphite fluoride. Residual carbon obtained from the thermal decomposition of graphite oxide is a suitable material for graphite fluoride with excellent discharge characteristics. Fluorine-graphite intercalation compound C_xF gives a higher discharge potential than graphite fluoride due to semi-ionic C-F bond. The reduction potential becomes higher with increasing fluorine content in C_xF. Vanadium fluoride- and titanium fluoride-intercalated graphites show high discharge potentials and capacities. Intercalated vanadium fluoride is reduced from V⁵⁺ to V⁰.