The settlement along mountainous part of the Ropičanka River was led from Smilovice tracing back to the 16th century. In 1592 the noble owners of Smilovice had a litigation with Sidonia Catherine, the ruler of the Duchy of Teschen. From the accompanying document the established of the Řeka village can be inferred to happen around 1587. In 1643 the village was mentioned as rzeka Smilowiczka, in 1647 as na Smilowskej Rzice, later on the adjective referring to Smilovice was dropped in the 19th century. It belonged then to the Duchy of Teschen, a fee of the Kingdom of Bohemia and a part of the Habsburg Monarchy.
^Panic, Idzi (2011). Śląsk Cieszyński w początkach czasów nowożytnych (1528-1653) [Cieszyn Silesia in the beginnings of Modern Era (1528-1653)] (in Polish). Cieszyn: Starostwo Powiatowe w Cieszynie. p. 168. ISBN978-83-926929-5-9.
* More than 10% of total population; 2001 census data. **Karviná fell under 10% in the 2001 census.
Villages with significant Polish population under the administration of another municipality are not listed.