"The court's approval of the settlement agreement will bring to a close this hard-fought 13-year litigation on terms agreeable to the parties," the lawyers said.
Attorney Desmond T. Barry Jr, who submitted the papers to US District Judge Alvin K. Hellerstein, declined to comment on Wednesday (US time).
Developer Larry Silverstein and World Trade Center Properties have collected more than US$5 billion from other defendants through lawsuits. The money has aided the reconstruction of buildings on the 16-acre lower Manhattan site.
Earlier settlements included US$135 million paid to a financial services firm that lost two-thirds of its employees.
American Airlines spokesman Matt Miller said the company is pleased to have reached a settlement.
"We will never forget that terrible day and its lasting impact including the tragic loss of 23 members of the American Airlines family," Miller said.
United Airlines declined to comment.
Bud Perrone, a spokesman for Silverstein, said the company is "pleased to have finally reached a resolution to this piece of post-9/11 litigation."