A spokesman said the couple wed in an intimate gathering of close family at the Palazzo Contarini, People magazine reported.
The Sunday ceremony is the second marriage for both stars. Arquette, 38, was married to Nicholas Cage in 1995, but separated after only nine months. Their divorce wasn't finalized until 1998.
Arquette also has a 17-year-old son, Enzo, from a relationship with musician Paul Rossi.
Jane, 37, who has appeared in "The Punisher," "Under Suspicion" and "Magnolia," was previously married to actress Aysha Hauer.
The couple's daughter is named Harlow Olivia Calliope.