A temperature management system includes: temperature detection units which individually detect temperatures of a plurality of electronic devices each changing an amount of heat generation depending on its operational state; a cooling device which cools the electronic devices; and a control unit which controls the cooling device depending on outputs from the temperature detection units. The control unit includes: an idle state determination unit which determines whether or not the electronic devices are in an idle state; a manipulated variable calculation unit which has an integrator and calculates a manipulated variable by using a difference between a target value and a controlled variable; and an accumulation value correction unit which corrects an accumulation value of the integrator with a predetermined value when the idle state determination unit determines that the electronic devices are in the idle state.