Provided is a cordless hair dryer. The cordless hair dryer includes a housing including a body part gripped by a user and a head part having a blower tube therein, a battery disposed inside the body part, a blower fan disposed in one end of the head part, a support which is inserted into the other end of the head part and fixed to an inner side of the blower tube, and a planar heating element which is formed as a carbon nanotube sheet and disposed on the support to receive power from the battery.