Henry Constable was an English poet and author on religious matters of the Elizabethan period.

Henry Constable may also refer to:

Henry Constable (of Burton Constable) (c.1559–1608), English politician Henry Constable, 1st Viscount of Dunbar (1588–1645), English Catholic knight in the Peerage of Scotland Henry Constable known as Harry Constable (1854–1881), British jockey