A cooling apparatus that cools with coolant a subject of cooling, which is a heat source. The cooling apparatus includes a cooling circuit, an electric pump, a switching section, and a control section. Through circulation of the coolant, air in the cooing circuit is caused to flow to an air bleeding portion and is discharged from the cooling circuit through the air bleeding portion. The switching section is capable of switching the operation mode of the electric pump between a normal mode and an air bleeding mode for collecting air in the cooling circuit to the air bleeding portion. During the air bleeding mode, the control section is capable of controlling the electric pump to change a coolant displacement from the electric pump according to a change pattern that allows stagnant air in sections of the cooling circuit to flow to the air bleeding portion.