The airline halted operation of seven aircraft, including five delivered last year and two delivered in the first quarter of this year, the company said.
The airline's claim followed three compensation requests from China Eastern Airlines, Air China and China Southern Airlines earlier this week.
China was the first to halt the commercial operations of all Boeing 737 Max 8 airplanes after a deadly Ethiopian Airlines plane crash on March 10.
It was the second crash of the new aircraft after one operated by Indonesia's Lion Air crashed in October last year, triggering global scrutiny and bans on operating Boeing 737 Max aircraft.
China's carriers own a total of 96 737 Max 8 planes, data from the Civil Aviation Administration of China showed.
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