The firm said some engines on its Boeing 787-9 fleet require maintenance following recent "engine events".
The Transport Accident Investigation Commission has opened two investigations into Air New Zealand, after two of their flights were forced to turn back this week forcing the airline to accelerate maintenance and cancel flights.
Air New Zealand said problems with Rolls-Royce engines on its aircraft have forced the carrier to ground some worldwide flights.
Earlier this year, Rolls-Royce issued a service bulletin calling for increased inspections of the compressor's rotor section as an interim measure to address possible cracking in the intermediate pressure compressor of the engine while it develops a permanent fix.
Under their joint venture alliance that took effect in January 2015, the two airlines will continue to operate one daily return service each on the Singapore-Auckland route, with a third service operated by Singapore Airlines during the Northern Winter season and Air New Zealand during the Northern Summer season.
The day before on Tuesday 5 December, passengers got a fright when an Air New Zealand plane began to malfunction on its way to Japan.
Air New Zealand chief operations integrity and standards officer David Morgan told the NZ Herald the the blades failed on the flight to Tokyo Narita, while exhaust gas temperature rises indicated problems with the engine.
"It's not uncommon for long-term engine programmes to experience technical issues during their life and we manage them through proactive maintenance", it adds.
Japanese airline ANA and Britain's Virgin Atlantic have also reported issues with the Rolls-Royce engines over the last 18 months.