The invention is directed to a direct methanol fuel cell (DMFC) and a portable computer having the same. The portable computer includes a display unit rotatably coupled to a main unit. The display unit includes a display panel, a liquid fuel tank, and a direct methanol fuel cell (DMFC) on the backside of the display panel. The main unit comprises a keyboard, and a liquid supply device under the keyboard to circulate an output from the DMFC to the fuel tank. The portable computer has a thin monopolar type DMFC on the backside of the display panel, which provides a longer operating time, and also improves portability by supplying an energy source promptly.