Abstract: A cooling apparatus includes a thermostat that adjusts a feed rate of coolant to a radiator, estimating means that estimates a coolant temperature simulated value at least based on the detection value of an intake-air temperature sensor, and diagnosis means that diagnoses an operating state of the thermostat by comparing the detection value of a coolant temperature sensor, and the coolant temperature simulated value when a diagnosis condition is established. When a ratio of an integrated value of the simulated water temperature variation in an idle state to the integrated value of the simulated water temperature variation in a normal driving state is equal to or greater than an upper limit ratio XP, the diagnosis of the operating state of the thermostat is prohibited.