Henry Frederick Carteret, 1st Baron Carteret PC (1735–1826) of Hawnes, Bedfordshire (known until 1776 as the Honourable Henry Frederick Thynne), was Member of Parliament for Staffordshire (1757–61), for Weobley in Herefordshire (1761–70) and was Master of the Household to King George III 1768–1771. He was hereditary Bailiff of Jersey 1776–1826.
He was the second son of Thomas Thynne, 2nd Viscount Weymouth (1710–1751) by his second wife Louisa Carteret, daughter of John Carteret, 2nd Baron Carteret, 2nd Earl Granville (1690–1763). He was thus the younger brother of Thomas Thynne, 3rd Viscount Weymouth, later created Marquess of Bath.
He was educated at St John's College, Cambridge, graduating BA, and in 1753 proceeded MA. In 1769 he was awarded the degree of Doctor of Civil Laws.
In 1757 he was encouraged by his friend and 3rd cousin (both were descended from daughters and eventual co-heiresses of John Granville, 1st Earl of Bath (1628–1701)) Granville Leveson-Gower, 2nd Earl Gower (1721–1803) to enter Parliament for Staffordshire, when that seat had become vacant following the death of Gower's uncle, Hon. William Leveson-Gower (died 1756). In 1761 he was elected for the Herefordshire borough of Weobley, which he represented until 1770.