In a malfunction determination apparatus and a malfunction determination method for a cooling apparatus that cools an internal combustion engine by circulating a cooling medium that flows in a first passage that extends through an inside of the engine, using an electric pump, a first temperature of the cooling medium is detected at an inlet of the first passage, through which the cooling medium flows into the inside of the engine; a second temperature of the cooling medium is detected at an outlet of the first passage, through which the cooling medium flows out from the inside of the engine; and it is determined that the switching valve is able to normally select the second passage, if both of the first temperature and the second temperature reach a first threshold value when a temperature of the cooling medium increases due to start of the engine.