Sutskever, Sutzkever or Suckewer (, ; ) is a surname. Originated in Yiddish as a locational surname indicating a family origin from a Belarusian village of or similar place with the addition of the Yiddish suffix ־ער (-er, for a resident or inhabitant of a place).

Notable people with this surname include:

Abraham Sutzkever (1913–2010), Yiddish poet Ilya Sutskever (born 1986), Israeli-American AI researcher Rachel Suckever (1904–1943/1944), Polish painter Szymon Suckewer (born 1938), Polish-American physicist