The story
In 1194, Duke Leopold V of Austria was paid 15 tonnes of silver by Richard the Lionheart. On his way back from the crusades Richard had been captured and imprisoned by the Duke in retaliation for a previous insult; he paid the bounty to secure his release from prison. Leopold decided to strike coins from the silver, marking the beginning of the history of minting in Vienna (though the Vienna Mint was not actually mentioned in historical documents for another 200 years).
The mint was originally located near the Hoher Markt, then relocated to the Wollzeile. Subsequently, it was housed in Prince Eugene's winter palace in Himmelpfortgasse, before finally moving to its present home at Heumarkt, central Vienna, in the 19th century.
Though other mints were established across Austria in the past, the Vienna Principal Mint became the sole mint when the Republic of Austria was formed in 1919. The mint changed its name to Münze Österreich ("Austrian Mint") as it became a subsidiary of Oesterreichische Nationalbank in 1989.
From Wikipedia’s article on Austrian Mint, shared under CC BY-SA 4.0.4