He served as the head football coach at Marquette University from 1922 to 1936 and again from 1946 to 1949, and at the University of Virginia from 1937 to 1945, compiling a career college football coaching record of 145–89–1.

Murray was also the head basketball coach at Marquette from 1920 to 1929, tallying a mark of 94–73.

Murray was the 13th head football coach at Marquette University in Milwaukee.

[2] Murray was also basketball coach at Marquette for nine seasons (1920–1929) and compiled a record of 94–73 (.563).

Murray later served as the head football coach at the University of Virginia from 1937 to 1945.