Arrowsmith is an English-language occupational surname. Notable people with the surname include:
Aaron Arrowsmith (1750–1823), English cartographer and publisher
Alex Arrowsmith (born 1982), American singer-songwriter
Alf Arrowsmith (1942–2005), English footballer
Alfred Arrowsmith (died 1935), Trinidadian cricketer
Anna Arrowsmith, pseudonym Anna Span (born 1971/1972), English film director
Arthur Arrowsmith (1880–1954), English footballer
Albert Arrowsmith (1887–1958), Australian rugby league footballer
Alex Arrowsmith (born 1982), American singer-songwriter
Brian Arrowsmith (1940–2020), English footballer and manager
Charlotte Arrowsmith, British actress
Cheryl Arrowsmith (born 1959), Canadian structural biologist
Chris Arrowsmith (born 1966), British slalom canoeist
Clive Arrowsmith, British photographer
Douglas Arrowsmith, Canadian film director and writer
Edmund Arrowsmith (c.1585–1628), English Jesuit and saint
Edwin Arrowsmith (1909–1992), British colonial administrator
Gord Arrowsmith (born 1944), Canadian soccer referee
James Arrowsmith (1839–1913), British printer and publisher
Jenna Arrowsmith (born 1980), British figure skater
John Arrowsmith (scholar) (1602–1659), English theologian and academic
John Arrowsmith (cartographer) (1790–1873), English cartographer, nephew of Aaron Arrowsmith
John C. Arrowsmith (1894–1985), United States Army general
Mary Noel Arrowsmith (1890–1965), American educator
Pat Arrowsmith (1930–2023), British writer and peace campaigner
Ramón Arrowsmith, American geoscientist and academic
Robert Arrowsmith (born 1952), English cricketer
Sue Arrowsmith (1950–2014), British artist
Tony Arrowsmith (1887–1950), English footballer
William Arrowsmith (1924–1992), American classicist, academic and translator