A method for managing a temperature of a heat engine of a hybrid motor vehicle, characterized in that it comprises: - a step of determining a next shutdown of the heat engine, then - a step of shutting down a cooling means of the heat engine, then after a non-zero time - a step of shutting down the heat engine, the step of determining the next shutdown of the heat engine comprising a sub-step of calculating a remaining time before said next shutdown of the engine, the method comprising a step of calculating an anticipation time between the shutdown of the cooling means and the shutdown of the heat engine, said step of shutting down a cooling means being executed as soon as said anticipation time is greater than or equal to said remaining time, characterized in that said remaining time 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 of restarting the cooling means of the heat engine after said step 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 of determining a next shutdown of the heat engine, then - a step of shutting down a cooling means of the heat engine, then after a non-zero time - a step of shutting down the heat engine, the step of determining the next shutdown of the heat engine comprising a sub-step of calculating a remaining time before said next shutdown of the engine, the method comprising a step of calculating an anticipation time between the shutdown of the cooling means and the shutdown of the heat engine, said step of shutting down a cooling means being executed as soon as said anticipation time is greater than or equal to said remaining time, characterized in that said remaining time 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 of restarting the cooling means of the heat engine after said step 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.