A fast, reliable, highly integrated memory device formed of a carbon nanotube memory device and a method for forming the same, in which the carbon nanotube memory device includes a substrate, a source electrode, a drain electrode, a carbon nanotube having high electrical and thermal conductivity, a memory cell having excellent charge storage capability, and a gate electrode. Further, the electrode includes a base formed of a dielectric material; a dielectric body buried in the base and formed of the same dielectric material as the base; and a conductive adhesive layer provided in a bonding portion between the base and the dielectric body, the conductive adhesive layer bonding together and fixing the base and the dielectric body to each other. Accordingly, an over current protection point corresponding to whether an OCP mechanism is activated is compensated according to the detected result, and thus the detection manner of the OCP performed by the invention can be adaptively suitable for different input voltages.