The paper deals with the numerical analysis of a vector hysteresis measurement system which is now under construction. The measurement set up consists of an induction motor which rotor has been removed, and its windings have been replaced to a special two phase one which can generate homogeneous magnetic field inside the motor. A round shaped specimen can be inserted into the arrangement. The two orthogonal components of the magnetic field intensity and of the magnetic flux density vectors can be measured by H-coils and B-coils, respectively. The Finite Element Method (FEM) with the T, Φ - ΦD potential formulation has been applied in the simulations. The vector hysteresis property of the specimen has been approximated by the vector Preisach model, finally the nonlinear problem has been solved by the convergent fixed point technique. The aim of the present work is to focus on the design aspects of this kind of measurement system.