The first written mention of Olbramkostel is from 1293. There are also earlier mentions from the 13th century, but their credibility and correct dating are uncertain. From 1526, the settlement was a property ofthe town of Znojmo. In 1538, Olbramkostel was promoted to a market town by Emperor Ferdinand I.
Transport
The I/38 road from Jihlava to Znojmo passes through the municipality.
Sights
The main landmark of Olbramkostel is the Church of the Assumption of the Virgin Mary. It was built in the Romanesque-Gothic style and later it was modified in the Renaissance and Baroque styles. The Romanesque core has been preserved to this day.