Norwegian Cruise Line, Oceania Cruise and Regent Seven Seas have suspended all sailings from 13 March until 11 April.
In a statement by parent company Norwegian Cruise Line Holdings, it said the move was aimed at contributing to efforts around the globe to contain the spread of the Covid-19 coronavirus.
It added: “This measure is taken in an abundance of caution and the company has not experienced any confirmed cases of Covid-19 across its 28-ship fleet.”
The company said voyages currently under way would conclude and guests disembarked as soon as possible and assisted with travel arrangements.
All customers on impacted voyages will receive a 125% refund of the fare paid in the form of a future cruise credit, which can be applied toward any future cruise through 31 December 2022.
Guests who do not wish to have the 125% future cruise credit will receive 100% refund of the fare paid.
The line confirmed that agent commissions on the cancelled cruises would be protected.
Frank Del Rio, president and chief executive officer of Norwegian Cruise Line Holdings Ltd said: “The safety, security and wellbeing of our guests and crew is our highest priority. With the Covid-19 coronavirus impacting communities around the globe, we have enacted a voluntary temporary suspension of cruise voyages across our brands effective immediately.
“We understand the inconvenience that this disruption may cause our guests and travel partners during these quickly evolving and challenging times, and we appreciate their understanding as we partner with local, state, federal and global agencies to combat the spread of Covid-19.”