The company is subject of an investigation into suspected price fixing along with a number of other large container shipping companies, according to a Wall Street Journal report.
The summons were handed out during a raid on a San Francisco meeting attended by 20 bosses of the industry's biggest companies, says the report.
Maersk is the world's largest container shipping operator with over 600 vessels.
Maersk Line told industry news agency JOC.com that it had received a summons from American authorities in connection with “an investigation of the global shipping industry,” but said there were no direct accusations against Maersk itself.
“A summons does not mean that the company has acted illegally, neither does it predetermine the outcome of the investigation,” Maersk told JOC, adding that the company would “cooperate fully” with the investigation.
The San Francisco meeting was held by the so-called Box Club and attended by top executives of leading shipping companies. American authorities attend the meetings as standard practice to ensure that activities like price fixing do not take place, reports Danish broadcaster TV2.