Concini (also spelled with the prefix De) is a surname. Notable people with the name include:
Concini Bartolomeo Concini (1507–1578), Italian political figure and diplomat Concino Concini (1569–1617), Italian politician and a minister of Louis XIII of France Cosimo Concini (1570–1604), Italian diplomat serving the Grand Duchy of Tuscany Giovan Battista Concini (1532–1605), Italian politician and diplomat
de Concini Corrado de Concini (born 1949), Italian mathematician and professor
De Concini Ennio De Concini (1923–2008), Italian screenwriter and film director
DeConcini Dennis DeConcini (born 1937), American lawyer, philanthropist, politician and former U.S. senator from Arizona Evo Anton DeConcini (1901–1986), American judge who served as Attorney General of Arizona, and a justice of the Arizona Supreme Court John DeConcini (1918–1998), American labor union leader