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Numerical experiments have been performed with state-of-the art modern MPI Earth System model (MPIESM) in conjunction with ocean altimetry data assimilation from archive AVISO. The original data assimilation method has been derived and applied. All computations have been realized on cluster system of German Climate Computing Center (DKRZ). The results of numerical experiments with and without assimilation were recorded and analyzed. A special attention has been focused on the Arctic zone. The model output in this region, in particular, ice concentration have been compared with independent data given by Arctic institute of Canada. It is shown that there is a good match of analyzed (after assimilation) model output and independent data.