Grech is a surname of Maltese origin. Notable people with the surname include:
Alex Grech (born 1965), DJ
Brian Grech, photographer
Godwin Grech, Australian Treasury official involved in the OzCar affair
Joe Grech (born 1934), Maltese singer
Joe Debono Grech (born 1939), politician
Joseph Grech (1948–2010), bishop of Sandhurst
Karin Grech (1962–1977), murder victim
Leandro Grech (born 1980), football player
Lino Grech (1930−2013), Romanian actor, writer and director
Louis Grech (born 1947), politician
Martin Grech, (born 1982), musician
Prosper Grech, (born 1925), Maltese cardinal
Ric Grech (1946–1990), bassist