Josef Finger (1 January 1841 – 6 May 1925) was an Austrian physicist and mathematician.
Joseph Finger was born the son of a baker in Plzeň.
On 17 March 1875 Finger received his doctorate at the University of Vienna, in 1876 he was qualified for the subject of analytical mechanics.
Finger was from 1888 to 1890 the Dean of the Chemical School, and from 1890 to 1891 he was rector of the Technische Hochschule in Vienna.
In 1916 Finger was awarded an honorary Doctorate of Technical Sciences.