We determined the hypocenters and the focal mechanisms of earthquakes on territory of Republic of Moldova using data from the Bulletins of International Seismological Center (ISC) and Moldova Seismic Network (MSN). Hypocenter relocation was carried out for the events which occurred in Moldova and for some events with initial location (ISC) close to territorial boarder of Republic of Moldova, from 1975 to 2005 that were reported by ISC and 4 stations from MSN. All of events are shallow earthquakes and with magnitude less than 4. For this set of earthquakes, we used both P and S arrival time data, because of small number of stations. Our relocation hypocenters result is resumed at 6 earthquakes inside of Moldova territory, 2 at North, 4 at South, and 4 more earthquakes closed to borders from Ukraine and Romania. For determination of focal mechanism of earthquakes in Moldova, we used the relocated hypocenters, and Composite P-first motion method. Focal mechanism on territory of Republic of Moldova is different from one to another area. We obtain focal mechanisms for 3 regions along the northen and the western border of country, which are in common with Romania, for North region – normal fault with EW T-axis direction, for Middle region – reverse fault with NS P-axis direction, for South region– strike slip fault with EW P –axis direction with reverse component. We suppose our results can be explained by the presence of the faults near to Dobrogea region, actually situated in Romania.