The line blamed "circumstances beyond our control, including deployment changes" for the cancellation of the sailing due to take place from 12-14 August.
A spokesperson for NCL said the company is working through alternative options "as quickly as possible" and will continue to keep trade contacts updated as the situation progresses.
"We apologise for any inconvenience caused and thank our partners for their patience and ongoing support," they added.
Prima is the first of six ships in NCL’s Prima Class, the line’s first new class of vessels in nearly 10 years. It is 965 feet long, weighs 142,500 gross tonnes and has the capacity for 3,215 guests at double occupancy.
