Department of Civil Aviation chief Azharuddin Abdul Rahman confirmed to AFP that the one-metre long (three-foot) object was in Malaysia.
He declined to provide further details but Malaysia's transport minister told local media it would be passed along to Australia, which is leading a huge Indian Ocean search for the missing aircraft.
"We will send it to Australia for further examinations," Liow Tiong Lai was quoted as saying.
The debris could provide fresh clues into the mystery of the Malaysia Airlines flight, a Boeing 777.
Australian Transport Minister Darren Chester said last week the debris would be analysed there by Malaysian and Australian officials and specialists, including from Boeing, to determine its origin.
Mozambican authorities on Monday had handed over the debris to Malaysian experts after it was found washed up on a sandbar by an American amateur investigator.
Tuesday marked the second anniversary of the plane's disappearance.
MH370 was carrying 239 passengers and crew when it vanished on March 8, 2014 on an overnight flight from Kuala Lumpur to Beijing.
More possible MH370 debris in the same area was found on Sunday and authorities are studying it.
But the search has been unable to pinpoint an actual crash site, which could help to solve the baffling mystery.
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