The Export-Import Bank of China was considering providing the French shipping firm with comprehensive financing, it said.
CMA CGM planned to order five ships first with options for another 15, with the ships expected to be built in Shanghai and Dalian and to be delivered from 2013, the paper said.
Korean shipbuilders refused to arrange financing for new ships so CMA CGM turned to Chinese shipyards, the paper quoted a market source as saying.
CMA CGM was not immediately available for comment.
CSSC, the parent of Shanghai-listed China State Shipbuilding Co Ltd , is China's biggest shipbuilder followed by CSIC, which controls China Shipbuilding Industry Co Ltd .