Greeff is a surname. Notable people with the surname include:
Arno Greeff (born 1995), South African actor Carel Greeff (born 1990), South African rugby union player Jean Greeff (born 1990), South African weightlifter Lloyd Greeff (born 1994), South African rugby union player Melissa Greeff (born 1994), South African chess player Pikkie Greeff (1968 - 2021), South African military trade union National Secretary Richard Greeff (1829-1892), German zoologist Stephan Greeff (born 1989), South African rugby union player Werner Greeff (born 1977), South African rugby union player