Szűcs is a Hungarian surname meaning "furrier". Notable people with the name include:
- Csaba Szűcs (born 1965), Hungarian marathon runner
- Csaba Szücs (born 1987), Slovak team handball player
- Erika Szűcs (born 1951), Hungarian politician and economist
- Gábor Szűcs (born 1956), Hungarian cyclist
- Gabriella Szűcs (born 1984), Romanian-born Hungarian team handball player
- Gabriella Szűcs (water polo) (born 1988), Hungarian water polo player
- György Szűcs (1912–1991), Hungarian footballer
- István Szűcs (born 1985), Hungarian footballer
- Jenő Szűcs (1928–1988), Hungarian historian
- Judith Szűcs (born 1953) Hungarian singer.
- Lajos Szűcs (disambiguation), multiple people, including:
- Lajos Szűcs (footballer, born 1943) (1943-2020), Hungarian football striker
- Lajos Szűcs (footballer, born 1973), Hungarian football goalkeeper
- Lajos Szűcs (politician) (born 1964), Hungarian politician and Member of Parliament
- Lajos Szűcs (weightlifter) (1946–1999), Hungarian weightlifter
- László Szűcs (born 1991), Hungarian footballer
- Sándor Szűcs (1921–1951), Hungarian footballer