The temperature dependence of the electric resistance and the magnetoresistance for both the as-grown carbon micro-coil obtained by chemical vapor deposition and those annealed at various temperatures up to 3000 degreesC were measured in the temperature range from 5 to 300 K. The activation energy estimated from resistance vs. temperature curves decreases essentially with the raise of the annealing temperature, which seems to show that coils annealed at higher temperature are graphitized with a higher degree of crystallization. Annealing temperature dependence of magnetresistance at 5 K is also thought to be due to the difference of graphitization degree. Field direction dependence of the room temperature magnetoresistance in the highly graphitized coils is consistent with the assumptions that the current flows helically along the fiber constituting the coil and that the increase of the resistance under magnetic field is due to the perpendicular component of the field to the current direction.