With Mrs May needing the support of 434 MPs - two thirds of all seats in the House of Commons - some 522 voted for the early election, with just 13 against.
Elections took place in May 2015 and were not expected until May 2020.
This election would allow May to be voted in as the prime minister.
Under the old timetable Britain would have left the European Union in 2019 and would have faced a new general election in 2020.
For voters in Britain, this snap election will be the third time they've been to the polls in three years.
The election announcement caused a rally in the pound, which had fallen since the Brexit vote, amid speculation that May will be returned with a stronger mandate.
On the first full day of general election campaigning, the Labour leader will say "powerful people" do not want him to win the snap general election.
May surprised allies and opponents on Tuesday when she announced her plan to bring forward an election that was not due until 2020, saying she needed to avoid a clash of priorities in the sensitive final stages of the two-year Brexit talks.
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Brexit Secretary David Davis and Chancellor Philip Hammond have been jointly pressing the PM to call an early vote for some time, and were informed of Mrs May's decision at a meeting on Monday.
May will be going into the election holding 330 of the 650 seats in the House of Commons, with a working majority of 17.
"That's why it is the right and responsible thing for all of us here today to vote for a general election".
Certainly it would help May tremendously if she could go into the negotiations with her own democratic mandate.
"You've seen inflation increasing, you've seen wages stagnating, that's having its affect in terms of those people who unfortunately are now heavily in debt as a result of consumer spend that has been buoying up the economy over the last six months".
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Like nearly everyone else in Britain, the election announcement caught financial markets off guard, amid concerns of the economic implications of Brexit.
Mrs May said she would not take part in any televised leaders' debates, leading to criticism from Mr Corbyn and other party leaders she was "running scared".
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In her speech on Tuesday at the door of 10 Downing Street, May made it clear why she wanted an early election.
"They want to unite together to divide our country and we will not let them do it".
"I believe that at this moment of enormous national significance there should be unity here in Westminster not division", she said as MPs debated in Parliament.
There has been widespread public support for Monday's decision, while political experts have given mixed responses.
With May seen winning a new five-year mandate and boosting her majority in parliament by perhaps 100 seats, the pound held close to six-and-a-half month highs on hopes she may be able to clinch a smoother, more phased departure from the European Union and minimise damage to the United Kingdom economy.
They campaigned for Britain to stay in the EU a year ago and have fought for the country to remain in the European single market since the Brexit victory.
"There will be no second referendum", May told the BBC. "The election will be dominated by Brexit, and the Labour Party will have to finally clarify its position".
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