Purpose-The purpose of this paper is to present a Preisach model to simulate the vector hysteresis properties of ferromagnetic materials. Design/methodology/approach-The vector behavior has been studied at low frequency applying a single-sheet tester with a round-shaped specimen, and the locus of the magnetic flux density vector has been controlled by a digital measurement system. An inverse vector Preisach hysteresis model has been developed and identified by using the measured data. Findings-Finally, the inverse model has been inserted into a finite element procedure through the combination of the fixed point technique and the reduced magnetic scalar potential formulation. The developed single-sheet tester measurement system has been simulated. The applicability of the realized measurement system as well as the developed model has been proven by comparing measured and simulated results. Originality/value-The identification technique is original, based on a previous work of the author. © Emerald Group Publishing Limited.