The investigation in France and neighboring Belgium has implicated police and other officials. Authorities have questioned prostitutes who said they had sex with Strauss-Kahn during 2010 and 2011 at a luxury hotel in Paris, a restaurant in the French capital and also in Washington, D.C.
Strauss-Kahn lived in the U.S. capital while he was head of the IMF. He resigned in May after he was charged by New York police with making a hotel maid perform oral sex. The charges were later dropped.
The one-time French presidential hopeful arrived at the police station in the city of Lille for a pre-arranged morning appointment.
Investigators are seeking to discover if prostitutes were paid using corporate funds from a large French construction company.
The Associated Press contributed to this report.