Located in the Hofburg in the Altstadt section of the city, the museum is owned by the Austrian Alpine Club (ÖAV).
In 1944 it was destroyed by shelling, but fortunately the majority of the collection had already been moved to Tyrol in Austria.
It was not until 1973, however, that the ÖAV had a part of the collection displayed in the Palace of Thurn and Taxis in Maria Theresia Straße.
From 1977 the museum was located on the third floor of the newly built Alpine Club house in Wilhelm Greil Straße.
After the Alpine Club had moved to a new building in 2008 the old exhibition area was no longer available and a cooperative agreement was reached with the Hofburg whereby the permanent exhibition, "Mountains - an Incomprehensible Passion" ("Berge, eine unverständliche Leidenschaft"), would be displayed on an area of 700 m² on the first floor until 2012.