The Justice Department says that tobacco companies should pay more than 140 million dollars to cover a racketeering lawsuit.
The government brought the lawsuit, alleging the industry misled the public about the dangers of smoking.
The amount is on top of the 10 billion dollars the government is already asking a federal judge to order the cigarette companies to pay for a stop-smoking program.
The government says that the companies have employed "questionable and vexatious" tactics through the case and an award of costs is appropriate.
No figure was given in the court papers.
But the lawsuit has cost the Justice Department over 140 million dollars since it was brought in 1999.