One of the crimes perpetrated by the Soviet Regime of occupation, after the June 28, 1940, was the new drew border between the Soviet Moldovan Republic and the Soviet Ukrainian Republic. Out of the territory of the Moldovan Republic remained a few parts of the old Moldovan state, which never in the history belonged to Ukraine: the Northern and the Southern Bessarabia, the Northern Bukovina and the district Hertsa. Unfortunately, nawdays Moldovan Government does not pay the necessary attention to the problems of the Moldo-Romanian ethnic minority from the historical Moldovan territories from Ukraine. One of the solutions to the conflict from the banks of the river Dniester could be an exchange of the territories between the Republic of Moldova and Ukraine: a part of Moldovan Transnistrian territory, where the Ukrainian minority and Russian speakers are in majority, could be changed with the districts of Reni, Noua Sulitsa, Hertsa – where the Moldo-Romanian community is in majority.