Henry Conway

Henry Conway may refer to:
 * Sir Henry Conway, 1st Baronet (1630–1669), MP for Flintshire, of the Conway Baronets
 * Henry Seymour Conway (1721–1795), British general and statesman
 * Henry W. Conway (1793–1827), delegate from the Arkansas Territory to the United States House of Representatives
 * Henry Conway (socialite) (born 1983), London-based socialite, club promoter and fashion journalist