Joseph Harney Morgan (July 23, 1884 – October 30, 1967) was a justice of the Supreme Court of Arizona from February 13, 1945, to January 6, 1947.

In that year he married Theola Linn of North Bend, Nebraska.

Morgan was "active in Boy Scout work, member of the Prescott Rotary club, and is a former regent of the University of Arizona".

[1] Morgan was appointed to fill a vacancy on the Arizona Supreme Court, caused by the death of Henry D. Ross, on February 13, 1945.

He sought election to a full term in 1946, losing in the primary to Levi Stewart Udall by 3150 votes.