Aug 29 (Reuters) - China's largest state-owned banks are considering cutting deposit rates for the third time in a year, Bloomberg News reported on Tuesday.

Industrial & Commercial Bank of China Ltd, China Construction Bank Corp and other lenders may lower rates on local currency deposits across key tenors by between 5 and 20 basis points, the report said, citing people familiar with the matter.

(Reporting by Jyoti Narayan in Bengaluru, Editing by Louise Heavens)