Kossoff is a Russian surname, also used by Russian Jews. It is derived from Russian word "kos" meaning blackbird. Variants of the name are Kossov, Kosov, Kossow. Notable people with the surname include:
Adam Kossoff, British filmmaker and artist David Kossoff (1919–2005), British actor, father of Paul Kossoff Leon Kossoff (1926–2019), British expressionist painter Paul Kossoff (1950–1976), British rock guitarist