Grieco is an Italian surname. Notable people with the surname include:
Andrea Grieco (born 1991), football player
Gaetano Grieco (born 1982), footballer
Joseph Grieco, political scientist
Joseph V. Grieco (1915–2006), politician
Paul Grieco, organic chemist:
Grieco elimination
Grieco three-component condensation
Richard Grieco (born 1965), actor
Ruggero Grieco (1893–1955), politician
Sergio Grieco (1917-1982), film director
Vito Grieco (born 1971), footballer