Transport Minister Liow Tiong Lai said following the "thorough examination" by international experts, the Malaysian Safety Investigation Team concluded that both pieces of debris "are consistent with panels found on a Malaysia Airlines Boeing 777 aircraft."
"As such, the team has confirmed that both pieces of debris from South Africa and Rodrigues Island are almost certainly from MH370," Liow said.
"This complements the results from the previous examination in March during which the team confirmed that the Mozambique debris were almost certainly from MH370," Liow added.
The two pieces of debris discovered in South Africa and Rodrigues Island were an engine cowling piece with a partial Rolls-Royce logo and an interior panel piece from an aircraft cabin.
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MH370's disappearance is one of the world's biggest aviation mysteries. The plane vanished from radar on March 8, 2014 while en route from Kuala Lumpur to Beijing with 239 people, including five Indians, on board.
The jetliner's journey is believed to have ended somewhere in a remote stretch of the southern Indian Ocean about 1,800 kilometers off Australia's west coast.
Australian officials last month had said the two pieces of debris recovered from beaches in Mozambique almost certainly belonged to the missing flight.
Australia is leading the massive multi-nation search in the remote southern Indian Ocean, believed to be the final resting place of the Boeing 777.
The relatives of several passengers aboard flight MH370 have filed suits against the Malaysia Airlines amid doubts about the official explanation for the plane's disappearance.