In the diploma thesis we discussed the problem of transformation between the height systems SVS2000 (datum Trieste) and SVS2010 (datum Koper). The difference between the height systems throughout the entire territory of Slovenia is not constant, so we do not yet know a uniform model of transformation in Slovenia. In the diploma thesis, we determined the local height transformation surface in the area of Prekmurje. As input data for the production of the height transformation surface, we used the height differences of the benchmarks of the levelling network of Slovenia. We analysed the influence of different interpolation methods, the influence of the use of different benchmarks and the influence of the size of the determination of the surface height transformation. We also checked the quality of the transformation based on the average difference in the heights of the benchmarks and compared it with the results of the transformation obtained based on the construction of the height transformation surface. We also checked how these transformations are consistent with the results obtained with the SiVis program, with awareness that this transformation is intended only for heights determined by GNSS tehnology.