"We welcome this commitment, which can provide the stability and certainty the whole country requires as we embark on Brexit and beyond", he said.
"As and when details are finalised both parties will put them forward".
The Conservatives won 318 House of Commons seats in Thursday's election, eight short of an outright majority. The main opposition Labour Party took 262.
Labour's Corbyn told the Sunday Mirror newspaper he saw a route to power himself, although it was not clear how he would command the support of a majority of members of parliament.
Its eurosceptic wing has always been a thorn in the side of Conservative prime ministers. This is still on.
May had called the snap election with a view to increasing the narrow majority she had inherited from her predecessor David Cameron.
A United Kingdom professor has been forced to eat his own words on live television after the British Labour party polled more than 38 percent of the vote at the United Kingdom election. Former Conservative cabinet minister Owen Paterson, asked about her future, said: "Let's see how it pans out".
"I was surprised that Jeremy Corbyn added two percentage points, or got two percentage points, more than I had expected and I did say that I would eat this book", Mr Goodwin said while holding up a copy of his Brexit: Why Britain voted to leave the European Union. The prime minister called this election on the basis she would need a stronger mandate to negotiate Brexit.
"For instance, if London were to stay in the customs union, then it would not have to renegotiate all trade agreements", he told the Frankfurter Allgemeine Sonntagszeitung newspaper.
Her Conservatives struck an outline deal with Northern Ireland's Democratic Unionist Party (DUP) for support on key legislation, a humiliating outcome for them after an election meant to make them a dominant force.
After an initial round of discussions, Downing Street had said on Saturday that the "principles of an outline agreement" had been agreed with the DUP.
Mrs May has reached a "confidence and supply" agreement with the Democratic Unionist Party (DUP).
However, her own party is now divided on the issue of Brexit.
"The talks so far have been positive".
The new found friendship with the DUP and its 10 parliamentary seats will reportedly give May "just enough" support to pass legislation, CNBC reported. Many are of the opinion that association with this party might lead to a rollback of gay rights, but Ruth Davidson, pro-Europe Scottish Conservative reassured that no such rollback of gay rights will be implemented.