Henry Alexander Wise (August 21, 1906 – December 13, 1982) was an American lawyer and politician from New York.
He was born on August 21, 1906, in Watertown, Jefferson County, New York, the son of Jennings Cropper Wise (1881–1968) and Elizabeth Lydecker (Anderson) Wise (1883–1963). He graduated from Virginia Military Institute; and in 1931 from the University of Virginia. In April 1935, he married Deborah Halsey Turnbull (1909–1943). In 1941, he married Mary Alice Buck (1918–1981), and they had three children. During World War II he served in the U.S. Army. He practiced law in Watertown.
Wise was a member of the New York State Senate from 1948 to 1964, sitting in the 166th, 167th, 168th, 169th, 170th, 171st, 172nd, 173rd and 174th New York State Legislatures. He was a delegate to the 1952 Republican National Convention. In June 1964, he ran in the Republican primary for Congress in the 31st District, but was defeated by Robert C. McEwen.