An employee of industry body Danish Shipping has contracted coronavirus.
The association said the unnamed staffer tested positive for Covid-19 on Wednesday morning.
"The person is placed in home quarantine and Danish Shipping is awaiting further instructions from the authorities," the group added.
Danish shipping companies are taking the situation seriously and are doing what is possible to limit the spread of the infection, the organisation said.
"It comes close when one of our good employees suddenly becomes infected, but fortunately they are in good spirits and...are well," said Danish Shipping chief executive Anne Steffensen.
The employee was struck with flu-like symptoms after a ski trip to Austria.
Colleagues who have been close to the infected person have been sent home.
Containment the priority
“We do everything we can to contain and limit the infection. That is why we cancel all meetings and ask our employees to work at home as far as possible,” added Steffensen.
Danish Shipping is ensuring that contact is made with the five or six external people who had met the employee on Wednesday and Thursday last week.
The association has 50 employees, most of whom are headquartered in Amaliegade.
Denmark has introduced its most drastic interventions in public life since World War II as it seeks to curtail the virus.
Workers are being asked to stay at home, while social contact is being discouraged.
Danish Shipping has praised the response from the government.
No Italian repeat
"We must avoid Italian conditions," Steffensen said.
"These are drastic steps that the prime minister and government have taken...but it is also a dramatic and serious situation we are in," Danish media cited her as saying.
"It is good to see the prime minister taking the threat seriously."
Danish ferry operator Samso Rederi has already announced that all passengers suspected of carrying the virus must remain in their cars on the crossing to the island of Samso.
"Obviously, the new initiatives also require special measures for our members and the nearly 7,000 employees working in the shipping offices around the country, but I'm sure the shipping companies are going to great lengths to find flexible solutions and for example, let their employees work at home to the extent possible," said Steffensen.
"We in the private sector must take our share of the responsibility and do everything we can to help Denmark get through the next crucial weeks."
Shares of boxship giant Maersk were down 5.95% in Copenhagen on Thursday, with tanker owners Torm and Nordic Shipholding also seeing falls.
