Slutsky is a Belarusian, Russian, and Ashkenazi Jewish surname that derived from Slutsk in Belarus. The Jewish family name 'Slutsky' is an Ashkenazized form of (; ; ) It is shared by the following people:

• Abram Slutsky (1898–1938), Jewish Ukrainian Soviet head of the foreign intelligence service (GUGB)

• Allan Slutsky, known as "Dr. Licks" (born 1953, Philadelphia, Pennsylvania), a Jewish American arranger

• Boris Slutsky (1919, Slovyansk, Ukraine - 1986), Jewish Ukrainian-Soviet poet

• Erik Slutsky (born 1953), Jewish Canadian contemporary, figurative painter

Eugen Slutsky (also Yevgeny Evgenievich Slutsky, 1880–1948), Ukrainian-Russian/Soviet mathematical statistician, economist and political economist

• Slutsky equation

• Slutsky's theorem

• Irina Slutsky, American internet video personality

• Irina Slutskaya, Russian figure skater

• Leonid Slutsky (football manager) (born 1971), Russian association football manager

• Leonid Slutsky (politician) (born 1968), member of the State Duma of Russia

• Marc Slutsky, drummer for Splender

• Rachel Slutsky, A Social Worker and B'nai Mitzvah tutor at Anshe Sholom Bnai Israel

Slutzky

• Meir Amit, born Meir Slutsky (1921–2009), high-ranking Israeli intelligence officer, politician and cabinet minister

• Naum Slutzky (1894–1965), a Jewish Ukrainian-German/UK goldsmith, Industrial designer and master craftsman of Weimarer Bauhaus

• Richard C. Slutzky, a member of both the Maryland, USA and National Wrestling Halls of Fame

• Robert Slutzky (1929–2005), American painter and architectural theorist