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".
Britain will go to the polls on June 8 after MPs cleared the way for an early general election in a House of Commons vote praised by Theresa May as "the right decision" in the national interest.
"Every vote for the Conservatives will make it harder for opposition politicians who want to stop me from getting the job done", she said.
The prime minister urged voters to give her "the mandate to speak for Britain and to deliver for Britain".
She insists an early election would provide "certainty and stability" in the negotiations, which will now start after the vote.
The Labour leader will acknowledge that "much of the media and the establishment" already believe his party can not win the election, but will pledge not to "play by the rules" and "change the direction" of the polls. Mr Corbyn accused the government of "broken promises" on health, education and the economy during its seven years in office.
She said: "We won't be doing television debates".
'They have robbed the British people of a £184 billion since we have gone into it, how dare they suggest that we owe the any money.
And she set out her line of attack against Labour, saying voters would face a choice between "stable and strong leadership, which I hope they have seen, and a coalition of Corbyn supported by the Liberal Democrats and the SNP".
British Prime Minister Theresa May's surprise call for a snap general election comes with the country facing a host of challenges - all closely bound up with the country's exit from the European Union.
The lawmakers approved the proposal, 522-13, after 90 minutes of debate to move the election up three years in a bid by the Conservative Party to expand its role in government and give better clout in negotiating Brexit.
The House of Commons can pave the way for an early vote by approving it with a two-thirds majority, or it can defeat the prime minister in a vote of confidence and have that result stand for two weeks.
The European Parliament is not directly involved in the forthcoming talks on Brexit but is regularly informed and has to agree to a future agreement between the EU and the UK.
Brexit is likely to mean the United Kingdom losing the European Medicines Agency (EMA) and European Banking Authority (EBA), which are now based in London's Canary Wharf and between them employ around 1,000 people in Britain. Former Conservative finance minister George Osborne, a powerful voice in favour of Britain's European Union membership during the referendum campaign, also said he would not seek re-election.
The smaller Liberal Democrats, who lost most of their seats in 2015 after entering coalition with the Conservatives, are hoping to capitalise on their strong support for the European Union to win new support.
Corbyn later ruled out any post-election coalition with the Scottish National Party.
Like nearly everyone else in Britain, the election announcement caught financial markets off guard, amid concerns of the economic implications of Brexit.
The pound rallied on speculation that May will be returned with a stronger mandate, but this caused London's FTSE 100 index - which features many multinationals earning in dollars - to fall.