Spivak or Spivack is a surname of Ukrainian and Polish origin, meaning singer. It is also common among Ashkenazi Jews. The name may refer to:
Charlie Spivak (1905 or 1907–1982), American trumpeter and bandleader
David Spivak (born 1978), American mathematician
Elye Spivak (1890–1950), Soviet linguist
Gayatri Chakravorty Spivak (born 1942), Indian literary critic and professor at Columbia University
Gordon Spivack (1928–2000), American antitrust lawyer and Justice Department official
John L. Spivak (1897–1981), American communist reporter and author
Lawrence E. Spivak (1900–1994), American journalist and publisher
Lori Spivak (contemporary), Canadian jurist from Manitoba
Marla Spivak (born 1955), American entomologist and winner of the MacArthur Fellowship
Maryana Spivak (born 1985), Russian actress
Michael Spivak (born 1940), American mathematician
Mira Spivak (born 1934), Canadian politician from Manitoba; member of the Canadian Senate
Nissan Spivak (1824–1906), Bessarabian cantor and composer
Nova Spivack (born 1969), American internet entrepreneur
Oleksandr Spivak (born 1975), Russian football player of the FC Zenit Saint Petersburg Russian football club
Sidney Spivak (1928–2002), Canadian politician from Manitoba