Until the latest discoveries, only a wing part recovered from a beach on the Indian Ocean island of La Reunion, which lies east of Mozambique, had been confirmed as coming from the plane that disappeared two years ago.
"The analysis has concluded the debris is almost certainly from MH370," Transport Minister Darren Chester said, adding that investigators had found the pieces were consistent with panels from a Malaysia Airlines Boeing 777 aircraft.
The two pieces are a flat grey fragment with the words "No Step" printed along one side, found on a sandbank, and a metre-long piece of metal picked up by a holidaymaker.
Malaysia's Transport Minister Liow Tiong Lai said investigators had advised that the "dimensions, materials and construction" of both parts conformed to Boeing 777 specifications, while the "paint and stencilling on both parts match those used by Malaysia Airlines (MAS)".
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Australia is leading the search for MH370 in the remote Indian Ocean, where the Kuala Lumpur-Beijing flight is believed to have diverted when it disappeared on March 8, 2014 carrying 239 passengers and crew.
Another piece of debris yet to be identified as coming from the missing jet was picked up near Mossel Bay, a small town in Western Cape province, South African authorities said Tuesday. They did not reveal when it was found.
Mossel Bay lies more than 2,000 kilometres from Vilankulo, the Mozambican resort where one of the pieces being examined in Australia was found.
Specialists, including from Australia and Boeing, have been conducting investigations in Canberra alongside the Malaysia team on the two Mozambique items.
When a two-metre-long (almost seven-foot) wing part known as a flaperon washed up on a beach on the French overseas territory of La Reunion in July, it was the first concrete evidence that MH370 met a tragic end.