CHICAGO — The city of Chicago sued the actor Jussie Smollett on Thursday, seeking more than $130,000 to cover the cost of a police investigation into his claim that he had been the victim of a hate crime attack.

The lawsuit accused Mr. Smollett, who has a prominent role on the show “Empire,” of orchestrating a fake assault in January and repeatedly lying to members of the Chicago Police Department as they investigated the case. City lawyers repeated many of the claims that had been made by prosecutors before criminal charges against the actor were abruptly dropped last month.

“Defendant made this report to the C.P.D. officers despite knowing that the purported attack was not for racist or homophobic motives” and “that his purported attackers were, in fact, his acquaintances,” said the lawsuit, which was filed in state court.

On Thursday evening, a spokeswoman for Mr. Smollett’s lawyers declined to comment on the city’s lawsuit, but the actor has insisted that he told the truth when he reported being attacked. And Mr. Smollett’s lawyer, Mark J. Geragos, previously rejected the city’s request to pay for the cost of the investigation and had brushed aside the threat of a lawsuit.