A cooling control device comprising: a radiator to which a coolant of an internal combustion engine is supplied; a first heat exchanger, other than the radiator, exchanging heat with the coolant; a coolant pump being driven by the internal combustion engine to circulate the coolant; a flow amount control valve setting a flow amount of the coolant; and a control portion setting an opening of the flow amount control valve; wherein the control portion includes a heat amount acquiring portion acquiring a first amount of heat, a second amount of heat, and a third amount of heat, the first amount of heat that is applied to the coolant by the internal combustion engine in response to a speed of the internal combustion engine and a load applied thereto, the second amount of heat that is applied to the coolant by the first heat exchanger, the third amount of heat that is delivered and received to change a temperature level of the coolant to a targeted temperature level; a targeted dissipation amount setting portion setting a targeted dissipation amount based on an added value of the first amount of heat, the second amount of heat, and a third amount of heat per unit time acquired by the heat amount acquiring portion; and an opening setting portion setting a targeted flow amount of the coolant that is to be supplied to the radiator based on the targeted dissipation amount being set by the targeted heat dissipation amount setting portion and based on a heat exchanging efficiency of the radiator, the opening setting portion setting a targeted opening of the flow amount control valve by a feedforward control. a radiator to which a coolant of an internal combustion engine is supplied; a first heat exchanger, other than the radiator, exchanging heat with the coolant; a coolant pump being driven by the internal combustion engine to circulate the coolant; a flow amount control valve setting a flow amount of the coolant; and a control portion setting an opening of the flow amount control valve; wherein the control portion includes a heat amount acquiring portion acquiring a first amount of heat, a second amount of heat, and a third amount of heat, the first amount of heat that is applied to the coolant by the internal combustion engine in response to a speed of the internal combustion engine and a load applied thereto, the second amount of heat that is applied to the coolant by the first heat exchanger, the third amount of heat that is delivered and received to change a temperature level of the coolant to a targeted temperature level; a targeted dissipation amount setting portion setting a targeted dissipation amount based on an added value of the first amount of heat, the second amount of heat, and a third amount of heat per unit time acquired by the heat amount acquiring portion; and an opening setting portion setting a targeted flow amount of the coolant that is to be supplied to the radiator based on the targeted dissipation amount being set by the targeted heat dissipation amount setting portion and based on a heat exchanging efficiency of the radiator, the opening setting portion setting a targeted opening of the flow amount control valve by a feedforward control.