Rue J. Alexander (October 4, 1889 – January 2, 1949) was a politician from the U.S. state of Indiana.
He attended the Lafayette Business College and until 1915 he worked on a farm.
In 1918, during the last year of World War I, he joined the United States Army where he served in the motor transportation corps.
After the resignation of Lieutenant Governor Richard T. James he was appointed to this office to complete the unfinished term.
His death occurred just a few days before the end of his term on January 10.