"I do reassure the families of our hope and expectation that the ongoing search will succeed. I can't promise that the search will go on at this intensity forever but we will continue our very best efforts to resolve this mystery and provide some answer," Abbott said.
The MH370 flight, which had 239 people on board, disappeared en route from Kuala Lumpur to Beijing on March 8, 2014.
Australia is at the helm of an international search team in the Indian Ocean, about 1,600 kilometers (1,000 miles) off its western coast. The search is focused on a 60,000-square-kilometer priority zone.
Earlier this week, Australia, Indonesia and Malaysia announced the trial of a new method of tracking long-haul flights, which is expected to help spot the missing Malaysian plane.
On Saturday, Malaysia's Department of Civil Aviation will release an interim report on the MH370, which is thought to have crashed in the Indian Ocean's southern area.