Predicting and optimizing of the high-speed solenoid on/off valve behavior requires an accurate model of the hysteresis loop of the magnetic material used. A ferromagnetic hysteresis model and a novel algorithm based on fixed-point technique to optimize the electromagnetic model are introduced. By utilizing a modified vector Preisach model of magnetic hysteresis and the global genetic optimization algorithm based on partial mapping cross method, the B-H relation loops are identified accurately.