The police said Mr Condit answered all of their questions satisfactorily after a third interview on Friday night which lasted 90 minutes.
Ms Levy disappeared on April 30, but Washington DC police have said that Mr Condit is not a suspect in the investigation.
The police said Mr Condit answered all of their questions satisfactorily after a third interview on Friday night which lasted 90 minutes.
"The congressman was not a suspect before the meeting, he was not a suspect during the meeting and he is not a suspect since the meeting," said Terrance Gainer, Washington's second ranking police official, at a press conference Saturday night.
Relationship
Mr Gainer would not, however, reveal whether Mr Condit described his relationship with Ms Levy as romantic.
Mr Condit's wife, Carolyn, was interviewed separately on Thursday.
"With the clarity of this interview and the interview with his wife, I think we have the information we need," was all he said.
Previously, Mr Condit described Ms Levy as a good friend, and his aides have denied any romantic relationship between them.
But Ms Levy's aunt, Linda Zamsky, told the Washington Post in an interview on Thursday that her niece told her she was dating Mr Condit.
Ms Levy, 24, was last seen on 30 April, when she cancelled her membership of a Washington health club.
It appears she was planning to go to her parents' home, in Modesto, California.
Police went to her apartment on 10 May, after receiving calls from her worried parents. There they found her bags packed, but no signs of violence.
The investigation so far has been handled as a missing persons case, not a crime.
Accusation
Last week, a flight attendant accused Mr Condit of asking her to lie in connection with the investigation into Ms. Levy's disappearance.
Mr Condit rejected the accusation.
"I have not asked anyone to refrain from discussing this matter with authorities, nor have I suggested anyone mislead the authorities," Mr Condit, a California Democrat, said in a statement.
"I have repeatedly urged anyone who has any information that could help police find Chandra Levy to come forward, tell all they know, and be as forthcoming as possible."