Strauss-Kahn moved from a temporary space to a four-bedroom brick town house in the Tribeca area of Manhattan.
The home rents for $50,000 a month and features a home theater and gym.
Despite the fancy features, Strauss-Kahan will be constantly monitored electronically and by armed guards and cameras.
He is only allowed to leave for court, doctor's visits and religious services. Also under his terms of house arrest, he can receive up to four visitors at a time besides family.
Security is being managed by Stroz Friedberg, the same company that handled house arrest for disgraced financier Bernard Madoff. Strauss-Kahn's agreement is expected to cost him about $200,000 a month.
Strauss-Kahn is free on $1 million bail under strict house arrest after prosecutors feared he might flee given his international status and wealth. He spent about a week in jail on Rikers Island after he was arrested May 14 following accusations that he sexually assaulted a hotel maid in his room at the Sofitel near Manhattan's Times Square. His lawyers maintain Strauss-Kahn is not guilty.
The Associated Press contributed to this report.