Estimates of the horizontal velocity of the radioastronomical station Simeiz were obtained using VLBI observations made under geodynamics programs during the years 1994-2000. The complete set of 3 million VLBI observations was analyzed, and it was found that the station moves with respect to the Eurasian tectonic plate, considered as rigid, with a rate of 2.8 -+ 0.9 mm/yr in the north-east direction. Possible local systematic effects were thoroughly studied and the reliability of the estimate of uncertainty of the results was evaluated. We investigated stability of the station with respect to local marks and revealed that an inclination of the azimuthal axis of the telescope increases with velocity 2".6 per year. The estimate of vertical motion of the station, 2.6 -+ 3.0 mm/yr, is not statistically significant.