Peggy Guggenheim Collection

The collection is housed in the Palazzo Venier dei Leoni, which Peggy Guggenheim purchased in 1949. Although sometimes mistaken for a modern building, it is an 18th-century palace designed by the Venetian architect Lorenzo Boschetti. The building was unfinished, and has an unusually low elevation on the Grand Canal. The museum's website describes it thus: Palazzo Venier dei Leoni's long low façade, made of Istrian stone and set off against the trees in the garden behind that soften its lines, forms a welcome "caesura" in the stately march of Grand Canal palaces from the Accademia to the Salute. The palazzo was Peggy Guggenheim's home for thirty years. In 1951, the palazzo, its garden, now called the Nasher Sculpture Garden, and her art collection were opened to the public from April to October for viewing. Her collection at the palazzo remained open during the summers until her death in Camposampiero, northern Italy, in 1979; she had donated the palazzo and the 300-piece collection to the Solomon R. Guggenheim Foundation in 1976. The foundation, then under the direction of Peter Lawson-Johnston, took control of the palazzo and the collection in 1979 and re-opened the collection there in April 1980 as the Peggy Guggenheim Collection. After the Foundation took control of the building in 1979, it took steps to expand gallery space; by 1985, "all of the rooms on the main floor had been converted into galleries... the white Istrian stone facade and the unique canal terrace had been restored" and a protruding arcade wing, called the barchessa, had been rebuilt by architect Giorgio Bellavitis. Since 1985, the museum has been open year-round. In 1993, apartments adjacent to the museum were converted to a garden annex, a shop and more galleries. In 1995, the Nasher Sculpture Garden was completed, additional exhibition rooms were added, and a café was opened. A few years later, in 1999 and in 2000, the two neighboring properties were acquired. In 2003, a new entrance and booking office opened to cope with the increasing number of visitors, which reached 350,000 in 2007. Since 1993, the museum has doubled in size, from 2,000 to 4,000 square meters. Since 1985, the United States has selected the foundation to operate the U.S. Pavilion of the Venice Biennale, an exhibition held every other summer. In 1986, the foundation purchased the Palladian-style pavilion, built in 1930.

Philip Rylands led the museum for 37 years after Peggy Guggenheim's death, until 2017. He was appointed the first director of the collection in 2000, and in 2017 he became director emeritus. In 2017, Peggy Guggenheim's granddaughter, Karole P. B. Vail, succeeded Rylands after having been a curator at the Solomon R. Guggenheim Museum in New York since 1997. As of 2012, the collection was the most visited art gallery in Venice and the 11th most visited in Italy.

Since 1992, Peggy Guggenheim's grandson Sandro Rumney, together with his children and some cousins, have raised several disputes with the Solomon R. Guggenheim Foundation. The disputes concern, in part, the difference in language between Guggenheim's unconditional 1976 deed of gift to the foundation, a 1969 letter, and a 1972 version of her will. The courts have found the deed binding. In 1992, Rumney and two other grandsons sued the foundation in Paris. They claimed, among other things, that the modernization of the collection did not comply with the letter and spirit of her wishes. In 1994, the court dismissed the claims and ordered the grandsons to pay the foundation court costs. Following the gift of approximately 80 works to the Solomon R. Guggenheim Foundation by Hannelore and Rudolph Schulhof (a former trustee of the foundation) in 2012, some works collected by Guggenheim were removed from the Palazzo to make room for the display of the new works. The Schulhofs' names were inscribed alongside Guggenheim's at both entrances of the museum. Their son, Michael P. Schulhof, has been a trustee of the Guggenheim foundation since 2009. In 2014, several French descendants of Peggy Guggenheim, led by Rumney, sued the foundation for violating her will and agreements with the foundation, which they said require that her collection "remain intact and on display". They also claimed that the resting place of her ashes in the gardens of the Palazzo has been desecrated by the display of sculptures nearby, among other things. The lawsuit requested that the founder's bequest be revoked or that the collections, gravesite and signage be restored. Other descendants of Peggy Guggenheim supported the foundation's position. In 2014, the court dismissed the claims and awarded the foundation legal fees. The court noted that the descendants had attended some of the parties held in the gardens by the foundation. In 2015, the Paris Court of Appeal dismissed the lawsuit and awarded the foundation additional legal fees. Rumney stated his intention to continue to appeal.