Blenkinsop or Blenkinsopp is a surname of British origin. Notable people with the surname include:

• Alan Blenkinsop (born 1933), South African cricketer
• Arthur Blenkinsop (1911–1979), British Labour Party politician and MP
• Brian Blenkinsop (1931–2017), South African cricketer
• Christopher Blenkinsop (born 1963), Anglo-German musician
• Ernie Blenkinsop (1902–1969), English football (soccer) player
• Euphemia Blenkinsop (1816–1887), Irish-American religious sister
• George Blenkinsop (1822–1904), pioneer in British Columbia, Canada
• John Blenkinsop (1783–1831), mining engineer and an inventor
• Joseph Blenkinsopp (1927–2022) British-American theologian and Old Testament scholar
• Layton Blenkinsop (1862–1942), British Army officer and veterinary surgeon
• Peter J. Blenkinsop (1818–1896), Irish-American Catholic priest
• Tom Blenkinsop (born 1980), British politician
• Tommy Blenkinsopp (1920–2004), English footballer
• Yvonne Blenkinsop (1938–2022), British safety campaigner

Fictional characters:

• Bertie Blenkinsop, character in The Beano comic, one of the softies and enemy of Dennis the Menace.

• Blenkinsopp Castle
• Blenkinsop Hall