The palace was built in the mid-16th century for procurator Gerolamo Grimani by architect Michele Sanmicheli, and completed after his death by Gian Giacomo de' Grigi, known as "il Bergamasco".
It has a classical plan with a central atrium. The facade has three sectors with Corinthian columns, suggestive of an Ancient Roman triumphal arch.
It was the residence of the patrician Grimani family until 1806. Palazzo Grimani is currently the seat of the Venice' Appeal Court.