"A time to build, a time to love, and is now at last a time for marriage equality", he said.
Prime Minister Malcolm Turnbull had then said that the "overwhelming" result meant that his government would aim to change the law in parliament before Christmas.
All amendments were struck down and the bill has passed unchanged from the one that cleared the Senate last week.
"Love has won, and it's time to pop the bubbly", Greens MP and same-sex marriage supporter Adam Bandt said. "This is a great day, it belongs to every Australian". Though the bill was expected to pass into law without significant opposition, the lengthy legislative process was excruciatingly slow for the hundreds of advocates watching from the public gallery.
Congratulations to Australia, most especially to those who fought long and hard to make this a reality!
"A promise was made by the leaders of this parliament and this promise has not been adequately delivered on", Mr Abbott said.
The law will come into effect in the new year.
Yemen's Ex-President Saleh Reported Killed In Fighting
Al Arabiya quoted a source in Saleh's GPC party as saying he was killed by a sniper. "He was trying to flee to Saudi", he said. One shows a group of fighters carrying the body in a sheet proclaiming "God is Great".
"We've voted today for equality, for love, it's time for more marriages, more commitment, more love, more respect", he continued.
The Australian House of Representatives has approved a bill that would extend marriage rights to same-sex couples.
In the end, 61.6% of Australia voted in favor of allowing same-sex marriage, with 38.4% saying "no".
A nonbinding postal survey found that 62 percent of Australian respondents wanted gay marriage to be legal.
Nearly 80 per cent of eligible voters took part in the poll, and almost 62pc of the 12.7 million people who participated chose "yes" on their ballots.
Australians have always been in favor of same-sex marriage, with polling from as long as 10 years ago showing majority support for legalizing marriage equality.
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