Henry Fownes Luttrell (born Henry Fownes; c. 1722 – 30 October 1780), of Dunster Castle, Somerset, was High Sheriff of Somerset from 1754 to 1755 and a Member of Parliament for the borough of Minehead from 1768 to 1774. Fownes Luttrell was an inactive politician and is not known to have spoken or voted in Parliament during the six years he was a member. Instead, he led the life of a country squire, hunting and managing his estates. Fownes Luttrell died in 1780, and his eldest son succeeded to his estates.