From written sources, Zawiersze was mentioned in 1518 as “Zawiersze Island” among the lands of Bezdziez village. In connection with the dispute between the Prince of Pinsk F.I. Jaroslawycz and the Catholics of the Church of the Mother of God in Trok. In 1783 the village was in the Pinsk district, Brest voivodeship, Grand Duchy of Lithuania. From 1795 in the Russian Empire, Kobryn district, Slonim, from 1797 Lithuanian, from 1801 Grodno province.

From written sources it is known from the 18th century. The village is on the 1860 years single page map: The village is also shown on the military topographic map of the Russian Empire for 1846-1863: Dubrowa on the 1865 triple layout map: From 1905, tract in Drohiczyn volost, Kobryn district, Grodno province. There were 48 inhabitants. From 1921 to 1939 it was a part of Poland. In Drohiczyn commune, Drohiczyn district, Poleskie voivodeship.

It is very likely that the village comes from the Dymski family, because on old maps the village is written “Dymskie”. The village is on the 1860 years map: The village is marked on the military topographic map of the Russian Empire 1846-1863: In the RGIA archive it is mentioned that from October 24, 1864 to August 22, 1866 temporarily obliged peasants bought land in the Braszewicze-Dymskie estate. In “Geographical Dictionary of the Kingdom of Poland and Other Slavic Countries, Volume VII”, there is a mention of the village: