Glover H. Cary (May 1, 1885 – December 5, 1936) was a member of the United States House of Representatives from Kentucky.

Cary studied law, was admitted to the bar in June 1909 and commenced practice in Calhoun, Kentucky.

He was a member of the Kentucky General Assembly from 1914 to 1917 and prosecuting attorney for McLean County from 1918 to 1922.

He served as the Commonwealth's Attorney for the sixth judicial district from 1922 until his resignation on February 28, 1931, having been elected to Congress.

He was elected as a Democrat to the Seventy-second, Seventy-third and Seventy-fourth Congresses and served from March 4, 1931, until his death.