Abstract: The positioning system is developed in which the distributed magnetizing coil made up of a number of small size coils. The mode of impulse magnetization of active elements from Magnetic Shape Memory Alloys (MSMA) is applied with a possibility of magnetic field intensity regulation on the elements. Such approach also allows to realize discrete control mode of MSMA strain and to increase positioning accuracy. The mathematical model for strain assessment of an active element considering permanent strain, nonlinear dependence of strain on the enclosed magnetic field and unevenness of magnetization of an active element is developed. The example of strain modeling of an active element of positioning system is given. Using the mathematical modeling of the three-dimensional electromagnetic field assessment of vortex currents influence on dynamic processes in active elements is carried out which allows assessing its influence on speed of system positioning. Duration of current impulses in the magnetizing coil is determined. The received results allow solving research problems of properties and use of MSMA in creation of high-speed high-precision positioning systems.