Police say Mahmoud Abdel Salam Omar was arrested at the Pierre Hotel on Monday morning.
The 74-year-old businessman is accused of sexually abusing the maid and holding her against her will inside his hotel room.
Police say the incident happened Sunday night. Police spokesman Paul Browne says detectives found the complainant to be credible.
Omar is the former chairman of Egypt's Bank of Alexandria.
Strauss-Kahn quit as the managing director of the International Monetary Fund on May 18 after he was charged with sexually assaulting a maid at a different city hotel.
He has denied the allegations, but is under house arrest as he awaits trial.
Published 31 May 2011, 08:27 IST