His comments came after a fishing vessel crammed with migrants capsized off Libya at the weekend with the loss of 800 lives, and as EU foreign and interior ministers met in Luxembourg to discuss ways to stem the flood of people trying to reach Europe.
Australia's conservative government introduced a military-led operation after coming into power in September 2013 to turn back boats carrying asylum-seekers before they reach the continent.
The "only way you can stop the deaths is in fact to stop the boats", he added.
While Abbott's controversial policy has proved successful, with the nation going nearly 18 months with virtually no asylum-seeker boat arrivals and no reported deaths at sea, human rights advocates say it violates Australia's international obligations.
Before the policy was introduced, boats were arriving almost daily with hundreds of people drowning en route.
"We must resolve to stop this terrible problem and the only way you can stop the deaths is to stop the people-smuggling trade," Abbott said.
Under Canberra's hard-line policy, navy ships intercept boats carrying asylum-seekers and turn them back to where they transited from, mostly Indonesia, or send those on board to offshore processing camps in the Pacific islands of Papua New Guinea and Nauru.
Asylum-seekers who arrive by boat are blocked from resettling in Australia even if they are found to be genuine refugees. They are left with the option of either returning home or living in PNG, Nauru, or even impoverished Cambodia, under bilateral agreements.
The offshore processing of asylum-seekers has also faced criticism over the camps' conditions and the lengthy processing times.
One of the architects of Australia's border policies, retired army major-general Jim Molan, said the crisis was due to Europe's "incompetent policy reaction".
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