The extension of the Danish International Ship Register (DIS) tax scheme to include offshore vessels has already attracted four new vessels to the flag.
Three of these ships are controlled by Maersk Supply Service and one by compatriot Ziton.
More ships may come, according to shipowners association Danish Shipping.
The tonnage tax regime was extended to offshore shipping companies and crews shortly before New Year, after a vote in parliament.
"The expansion of the DIS scheme strengthens the offshore industry in Denmark and makes it possible to operate vessels under the Danish flag on competitive terms in a challenging market. The process of enlargement has been going on for several years, and we are very pleased with the result," said Maersk Supply Service chief executive Steen Karstensen.
Ziton has placed one of its jack-up vessels with the register.
Growing wind market for offshore owners
The company is noticing both a growing market and increased competition in the offshore wind sector.
"There is no doubt that the market for offshore wind is increasing, but at the same time competition among the various players has also been intensified on an ongoing basis. We have long been able to compete on quality, but with the expansion of DIS we are now also strengthening our international competitiveness," said Ziton CEO Thorsten Jalk.
Danish Shipping said it was pleased that the scheme is paying off.
"It is good news that new ships are joining the Danish flag. It was our expectation that the expansion would attract new vessels to the Danish flag, and it is good to see that the shipping companies acknowledge the expansion by joining in," said CEO Anne Steffensen.
"The offshore wind market is growing globally, and that growth must be part of Danish shipping companies."
The country already has 45 shipping companies and 187 Danish-operated vessels working in the sector, on a full or part-time basis.