Disclosed is a space heater, with an air cleaning function, that monitors combustion at a burner, and prevents the halting of combustion due to the erroneous detection of a combustion abnormality. According to the present invention, a space heater includes: a heating unit control unit, which performs a "heating operation" for igniting fuel gas at a burner to operate a heating fan; an air cleaning unit control unit, which performs an "air cleaning operation" for operating an ion generator and an ...