Beaumont was educated at Eton College and Street John"s College, Cambridge, where he graduated with a Bachelor of Arts in 1813.
He served as lieutenant-colonel of the Northumberland Militia, but resigned in 1824. In 1826, he fought a duel with John Lambton later 1st Earl of Durham. He lost this seat in 1826, however was successful for Stafford in a by-election in 1826.
After the general election of 1830 Beaumont was returned again for Northumberland, until in 1832, the constituency was split into a north and south division.
Beaumont was elected for the latter, and sat then for South Northumberland until his retirement from politic in 1837. Initially a Tory, he was considered a Liberal from 1820.
Beaumont died at the age of 56 at Bournemouth and was buried at his seat Bretton Hall, Wakefield, Yorkshire.
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9th United Kingdom Parliament.
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He was president of the Literary Association of the Friends of Poland and a member of the Royal Yacht Squadron. In 1816 Beaumont stood as Member of Parliament (Member of Parliament) for Northumberland, the same constituency his father had represented before.