Its name derives from the four-yearly exhibitions it is required to host by its constitution. It is based in Rome in the monumental complex of Villa Carpegna.
- I Quadriennale, January - June 1931.
- II Quadriennale, February - July 1935.
- III Quadriennale, February - July 1939.
- IV Quadriennale, May - July 1943.
- V Quadriennale, March - May 1948.
- VI Quadriennale, December 1951 - April 1952.
- VII Quadriennale, November 1955 - 1956.
- VIII Quadriennale, December 1959 - April 1960.
- IX Quadriennale, October 1965 - March 1966.
- X Quadriennale, Five exhibitions:
- November - December 1972.
- February - March 1973.
- May - June 1973.
- March - April 1975.
- June - July 1977.
- XI Quadriennale, Palazzo dei Congressi, EUR complex, Rome, May - August 1986.
- XII Quadriennale, two exhibitions:
- 1999. XIII Quadriennale, Palazzo delle Esposizioni, June - September 1999.
- XIV Quadriennale three exhibitions:
- XV Quadriennale, June - September 2008.