Abstract: We solve parameters of motions of the five continental plates (i.e., Pacific Plate, Australian Plate, African Plate, Eurasian Plate, and the North American plate) with Satellite Laser Ranging (SLR) station coordinates and measured velocity fields based on the SLRF2005. The SLRF2005 was established using global SLR data. We compare our results to the geological model NNR-NUVEL-1A and find that the Euler vectors according to measurements with modern space technologies agree precisely with those given by the geological model. This indicates that plate motions have been stable in millions of years. However, there are small yet noticeable differences between the Euler vectors evaluated from the two sources.