Grossi is a surname. Notable people with the surname include:
Alex Grossi (born 1976), American guitarist
Carlo Grossi (born c. 1634; died 1688), Italian composer and singer
Enzo Grossi (1908–1960), Officer in Italian Navy during World War II
Esther Pillar Grossi (born 1936), Brazilian educator and federal deputy in Rio Grande do Sul
Fabio Grossi (dancer) (born 1977), Italian dancer and ballet teacher
Fabio Grossi (athlete) (born 1967), retired Italian sprinter who specialized in the 400 metres
Franco Grossi (born 1939), Italian discus thrower
Gabriele Grossi (born 1972), Italian professional football player
Giovanni Francesco Grossi (1653–1697), Italian singer of bel canto
Guy Grossi (born 1965), Australian Chef and media personality
José Nicomedes Grossi (1915–2009), Brazilian bishop
Lodovico Grossi da Viadana (c. 1560–1627), Italian composer, teacher, and Franciscan friar of the Order of Minor Observants
Oreste Grossi (1912–2008), Italian rower
Paolo Grossi (born 1985), Italian professional football player
Paolo Grossi (judge) (born 1933), Italian judge
Pietro Grossi (1917–2002), Italian composer of computer music, visual artist and hacker
Tommaso Grossi (1791–1853), Lombard poet and novelist
Tony Grossi (born 1958), American radio/TV personality