Henry Dennis (Feb 1594 – 26 June 1638) was High Sheriff of Gloucestershire in 1629. He was lord of the manor of Pucklechurch, Gloucestershire. The Dennis family produced more Sheriffs of Gloucestershire than any other family. Like many members of the Gloucestershire gentry he refused to take a knighthood at the coronation of King Charles I in 1625, for which he paid a composition of £25.