Grassini is a surname. Notable people with the surname include:

Davide Grassini (born 2000), Italian footballer Giulio Grassini (1922–1992), first Italian director of the SISDE Giuseppina Grassini (1773–1850), Italian contralto and singing teacher Margherita Grassini Sarfatti (1880–1961), Italian journalist and Benito Mussolini's biographer