Adjoining the palazzo built in the early 18th century on a design by Carlo Fontana, under commission to the marquis Alessandro Capponi, the garden lies in the area occupied in the 16th century by the garden of Jacopo Salviati, renowned for the abundance of rare plants and the rich decoration. Agostino Del Riccio reports the presence of finocchio or Florence fennel, a "new and uncommon" plant for those times. In the 18th century, the garden was famous for its aviaries, citrus trees, century-old plants, statues, decorated lemon-house, and a fountain with water supplied by the nearby Botanical Garden. Also interesting is the aviary built between 1706 and 1708 with decorations in tufa and shells.

Until a few years ago, the garden was open to the public for visits every day. Today, however, the use and maintenance of this type of garden has led to its inevitable closing.