A method for managing a temperature of a heat engine of a hybrid motor vehicle , characterized in that it comprises: - a step (E1) of determining a next shutdown of the heat engine, then - a step (E3) of shutting down a cooling means of the heat engine, then after a non-zero time - a step (E4) of shutting down the heat engine, the step (E1) of determining the next shutdown of the heat engine comprising a sub-step (E11) of calculating a remaining time (DR) before said next shutdown of the engine, the method comprising a step (E2) of calculating an anticipation time (DT) between the shutdown of the cooling means and the shutdown of the heat engine, said step (E3) of shutting down a cooling means being executed as soon as said anticipation time (DT) is greater than or equal to said remaining time (DR), characterized in that said remaining time (DR) is calculated as a function of at least one of the following parameters: - a heat engine temperature, - a temperature in the heat engine's emission aftertreatment system - a heat engine power, - a heat engine torque, - a heat engine speed and in that it comprises a step (E6) of restarting the cooling means of the heat engine after said step (E3) of shutting down the cooling means if an operating characteristic reaches or exceeds a predetermined value, in particular if a temperature of the heat engine becomes greater than or equal to a threshold temperature and/or if the power of the heat engine becomes greater than or equal to a threshold power and/or if the speed of the heat engine becomes greater than or equal to an engine threshold speed, and if the use of a heating or air-conditioning system in a cabin of the vehicle is detected. - a step (E1) of determining a next shutdown of the heat engine, then - a step (E3) of shutting down a cooling means of the heat engine, then after a non-zero time - a step (E4) of shutting down the heat engine, the step (E1) of determining the next shutdown of the heat engine comprising a sub-step (E11) of calculating a remaining time (DR) before said next shutdown of the engine, the method comprising a step (E2) of calculating an anticipation time (DT) between the shutdown of the cooling means and the shutdown of the heat engine, said step (E3) of shutting down a cooling means being executed as soon as said anticipation time (DT) is greater than or equal to said remaining time (DR), characterized in that said remaining time (DR) is calculated as a function of at least one of the following parameters: - a heat engine temperature, - a temperature in the heat engine's emission aftertreatment system - a heat engine power, - a heat engine torque, - a heat engine speed - a heat engine temperature, - a temperature in the heat engine's emission aftertreatment system - a heat engine power, - a heat engine torque, - a heat engine speed and in that it comprises a step (E6) of restarting the cooling means of the heat engine after said step (E3) of shutting down the cooling means if an operating characteristic reaches or exceeds a predetermined value, in particular if a temperature of the heat engine becomes greater than or equal to a threshold temperature and/or if the power of the heat engine becomes greater than or equal to a threshold power and/or if the speed of the heat engine becomes greater than or equal to an engine threshold speed, and if the use of a heating or air-conditioning system in a cabin of the vehicle is detected. <EOS>