Built in 1932, the 3.3-acre estate has a total of 12 bedrooms and 14,000 square feet of space.
The home, known as the Villa Ruchello, previously belonged to noted director Henry Jaglom. It has made appearances in "Beverly Hills Cop" and "Entourage."
Smith's net worth has been estimated to be as much as $400 million. Brooklyn-based Vice Media, which he cofounded in 1994, has been valued at $2.5 billion.