Abstract: A method for controlling a car with a parallel hybrid system comprising at least a combustion engine and an electrical machine in P0- or P1-configuration, with a clutch for connecting the combustion engine's output shaft with at least one drive shaft. Steps include determining a power demand Pd, and decoupling the combustion engine from the drive shaft if the power demand Pd is below a first threshold P1. Coupling the combustion engine with the drive shaft when the power demand Pd is above the first threshold P1 provides additional fuel savings when the method further comprises shutting off the combustion engine and providing power to the drive shaft by providing electrical power to the electrical machine to drive the car, when the power demand Pd is between the first threshold P1 and a second threshold P2. The second threshold P2 is greater than the first threshold P1, i.e. if P1<Pd<P2.