The BBC was contacted by someone who claimed to have found the fragment on the Macenta peninsula.
Authorities have been notified, and the piece is set to be examined by an official investigation team in Australia.
Experts have said the find is consistent with where previous pieces of debris from MH370 have been found, the BBC said.
The person who found the pieces told the news site that they were "reasonably light, did not have metal on the outside, and looked extremely similar to photos posted on the internet of other pieces of debris from aeroplanes".
The plane had 239 people on board when it disappeared in March 2014.
It is thought to have possible crashed into the southern Indian Ocean after it veered off course.
More possible debris found from MH370
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