Grieco is an Italian surname. Notable people with the surname include:
Andrea Grieco (born 1991), football playerGaetano Grieco (born 1982), footballerJoseph Grieco, political scientistJoseph V. Grieco (1915–2006), politicianPaul Grieco, organic chemist:Grieco eliminationGrieco three-component condensationRichard Grieco (born 1965), actorRuggero Grieco (1893–1955), politicianSergio Grieco (1917-1982), film directorVito Grieco (born 1971), footballer