A thermoelectric air conditioner includes semiconductor, cold and hot ducts, fins, temperature controller and fan installed in a casing; cold air or hot air generated through the process by the thermoelectric cooling chip before being delivered through superconductor ducts free of barrier to be stored by fins; and push buttons provided on the user interface of the temperature controller allowing the air temperature to be controlled at constant, cooler or hotter before delivering the air stored in fins through the fan for the room to arrive at the temperature desired in short time.