The incident comes after a Qantas A380 engine explosion last week.
The superjumbo jet was forced into an emergency landing last Thursday when the engine blew up over Indonesia.
Company officials said a faulty part in the turbine area of the engine caused an oil fire, which triggered the explosion.
The part that failed is only in engines used in superjumbo jets.
Qantas's chief executive announced Saturday that the company will keep all its flagship A380 superjumbos on the ground until further notice.
The move sets Australia's national airline apart from the other two airlines using the Rolls-Royce Trent 900 engine. Lufthansa and Singapore Airlines are flying their 14 A380s again after carrying out extra inspections following the Thursday engine explosion.
The Associated Press contributed to this report.