Krause was born in Polnisch Konopath near Schwetz, West Prussia. He and his brother Arthur Krause were employed by the Geographical Society of Bremen in Germany when they conducted ethnological research in Siberia, followed by Aurel Krause's mostly solo research with the Tlingit of Klukwan, Alaska, in 1881 and 1882.
Krause Mountain located 16 miles WSW of Haines Alaska is named after Aurel Krause and his brother Arthur Krause. It is a part of the Takhinsha Mountains.
- Krause, Aurel (1956) The Tlingit Indians: Results of a Trip to the Northwest Coast of America and the Bering Straits. (Original title: Die Tlinkit-Indianer.) Trans. by Erna Gunther. Seattle: University of Washington Press. Click here for original German version. (Klicken Sie hier fur Die Tlinkit-Indianer auf Deutsch.)
- Kruase, Aurel and Krause, Arthur (1984) To the Chukchi Peninsula and to the Tlingit Indians 1881/1882. Trans. By Dietrich Reimer Verlag.
- Krause, Aurel (1981) Journey to the Tlingits. Trans. By Margot Krause McCaffrey. Haines Centennial Commission. 
- "Mount Krause". Alaska Guide. Retrieved 2020-01-01.
- To the Chukchi Peninsula and to the Tlingit Indians 1881/1882, Rasmuson Vol 3.
- Krause, Aurel (1981). Journey to the Tlingits by Aurel and Arthur Krause, 1881/82. Haines Centennial Commission.