“He complied with the detectives’ directions,” Mr. Kelly said.

The Port Authority officers were acting on information from the Police Department, whose detectives had been investigating the assault of a female employee of Sofitel New York, at 45 West 44th Street, near Times Square. Working quickly, the city detectives learned he had boarded a flight at Kennedy Airport to leave the country.

Though Mr. Strauss-Kahn received generally high marks for his stewardship of the fund, his reputation was tarnished in 2008 by an affair with a Hungarian economist who was a subordinate there. The fund decided to stand by him despite concluding that he had shown poor judgment in the affair. Mr. Strauss-Kahn issued an apology to I.M.F. employees and to his wife, Anne Sinclair, an American-born French journalist whom he married in 1991.

In his statement then, Mr. Strauss-Kahn said, “I am grateful that the board has confirmed that there was no abuse of authority on my part, but I accept that this incident represents a serious error of judgment.” The economist, Piroska Nagy, left the fund as part of a buyout of nearly 600 employees instituted by Mr. Strauss-Kahn to cut costs.

In the New York case, Mr. Browne said that it was about 1 p.m. on Saturday when the maid, a 32-year-old woman, entered Mr. Strauss-Kahn’s suite — Room 2806 — believing it was unoccupied. Mr. Browne said that the suite, which cost $3,000 a night, had a foyer, a conference room, a living room and a bedroom, and that Mr. Strauss-Khan had checked in on Friday.

As she was in the foyer, “he came out of the bathroom, fully naked, and attempted to sexually assault her,” Mr. Browne said, adding, “He grabs her, according to her account, and pulls her into the bedroom and onto the bed.” He locked the door to the suite, Mr. Browne said.

“She fights him off, and he then drags her down the hallway to the bathroom, where he sexually assaults her a second time,” Mr. Browne added.