Cockcroft or Cockroft is a surname. Notable people with the surname include:

Cockcroft:

• Barry Cockcroft (1933–2001), British television documentary director
• Barry Cockcroft (dentist), Chief Dental Officer (CDO) for England
• Bill Cockcroft, former Chief Scout Commissioner of England
• Colin Cockcroft (1918–1987), South African military commander
• Donald William Cockcroft (1946–), Canadian asthmologist; see Cockcroft-Gault formula
• George Cockcroft (born 1932), American novelist who published under the name Luke Rhinehart
• Sir John Douglas Cockcroft (1897–1967), British nuclear physicist
  • The Cockcroft Institute, British research centre for accelerator physics named after Sir John D. Cockcroft
  • Cockcroft, lunar crater named after Sir John D. Cockcroft
• John Hoyle Cockcroft (born 1934), British Conservative politician
• Shamshad Cockcroft, British physiologist
• Vic Cockcroft (born 1941), English footballer
• Wilfred Cockcroft (1923–1999), English mathematician

Cockroft:

• Don Cockroft (born 1945), American football player
• Hannah Cockroft (born 1992), British athlete, gold medallist at the 2012 and 2016 Paralympics
• Joe Cockroft (1911–1994), English footballer
• Lana Coc-Kroft (born 1967), New Zealand television and radio personality
• Peter Cockroft (born 1957), British weather forecaster
• Josh Cockroft (born 1989), Oklahoma Representative