The order, issued last October by the Centers for Disease Control and Prevention (CDC), mandated testing and some additional safeguards for crew members as part of a framework for a phased resumption of cruises.
On Monday (25 October), the CDC extended the CSO for cruises until 15 January 2022 over concerns about the spread of the Delta variant of Covid-19.
The public health agency said the extension includes minor changes and when the order is lifted it will shift to a voluntary programme.
Clia said the update "underscores the importance of ongoing dialogue and collaboration between government and industry" as the order enters its final phase.
A spokesperson for the cruise association said: "We look forward to demonstrating the industry’s continued leadership in this final phase of the CSO, and to carrying out a smooth transition when the order comes to an end.
"Cruise industry protocols are unique in their approach to monitor, detect, and respond to potential cases of Covid-19.
"As a result, Clia-member ocean-going cruise ships are sailing today with some of the highest levels of Covid-19 mitigation of any industry."
Clia claimed that the economic impact of the cruise industry reaches every US state, and helps to support nearly 450,000 American jobs.
"These accomplishments are the result of ongoing dialogue and collaboration with the Biden administration, as well as our members’ strong commitment to making cruise a model for responsible travel," they added.