The results of long-term (1998-2005 yrs.) tectonomagnetic investigations in the Western Antarctic near the location of Ukrainian Antarctic Station «Academic Vernadsky» are reviewed. The peculiarities of the Earth’s anomalous magnetic field and its dynamic temporal variations (tectonomagnetic anomalies) were studied using the newly founded tectonomagnetic polygon. Near the Argentine Archipelago intensive tectonomagnetic effects up to -2.8 nT/year were determined. Their spatial-temporal structure agrees with tectonic structure elements. We suggest that the nature of such effects is caused by a piezomagnetic effect under the influence of stretching tectonic forces (few bars per year) in sub-latitudinal direction. Perspectives of tectonomagnetic investigations in the region are discussed.