Provided are insulation coated carbon fiber and a method of producing insulation coated carbon fiber having excellent electrical insulation while having high thermal conductivity. The insulation coated carbon fiber includes carbon fiber that is at least partially coated by an electrically insulative coating. The electrically insulative coating is a polymer formed from one type or two or more types of a polymerizable compound having a double bond, at least one of which is a polymerizable compound including at least two polymerizable functional groups.