Josephson is a patronymic surname meaning "son of Joseph". Notable people with the surname include:
Andy Josephson (born 1964), American lawyer and politician
Brian David Josephson (born 1940), Welsh physicist
Duane Josephson (1942–1997), American baseball player
Erland Josephson (1923–2012), Swedish actor and author
Ernst Josephson (1851–1906), Swedish painter
Ian Josephson, Canadian judge
Julien Josephson (1881–1959), American motion picture screenwriter
Karen Josephson (born 1964), American swimmer
Les Josephson (born 1942), American football player
Mark Josephson (born 1943), American cardiac electrophysiologist
Matthew Josephson (1899–1978), American journalist and author
Sarah Josephson (born 1964), American swimmer