Brinsley is both a given name and a surname. Notable people with the name include:
Given name: Brinsley Butler, 2nd Earl of Lanesborough (18th century), Grand Master of the Freemasons in Ireland Brinsley Forde (born 1952), Guyanese musician Brinsley Trench, 8th Earl of Clancarty (1911–1995), prominent ufologist Brinsley MacNamara (1890–1963), Irish novelist Brinsley Schwarz (musician) (born 1947), English guitarist and rock musician Edmund Brinsley Teesdale (1915–1997), Colonial Secretary of Hong Kong Richard Brinsley Knowles (1820–1882), British journalist Richard Brinsley Sheridan (1751–1816), Irish playwright and Whig statesman
Surname: Frank Brinsley (born 1971), American radio personality Ismaaiyl Brinsley, suspect in the 2014 killings of NYPD officers