Nowadays, the increasing number of nonlinear loads influence the grid causing grid voltage disturbances. Those disturbances may be very dangerous for the equipment and can create faults in converters behavior. However, the right control algorithm can improve the reliability of the work. For Current Source Rectifier the finite control set model predictive control has been proposed. This method is very flexible because of the variety of the possible cost function forms. It has been examined under grid voltage disturbed by the higher harmonics and the voltage drop. Simulation results prove the ability to damp the distortions and to ensure the unity power factor. Summing up, the algorithm is a very good solution in use in applications such as: battery charging, active power filtering, low voltage DC loads feeding.