The Conservative Party reiterates its steadfast support for the Belfast Agreement and its successors and, as the UK Government, will continue to govern in the interests of all parts of the community in Northern Ireland.
Sources close to the negotiations say about one billion pounds (1.27 billion US dollars) in concessions have been made to Northern Ireland's largest party in exchange for support from its 10 MPs on key votes in the House of Commons.
Democratic Unionist Party leader Arlene Foster said the details of the deal with the Conservatives will be published later.
Northern Ireland's other political parties also have objected to a Conservative alliance with the DUP, as it jeopardizes the government's pledge to be a neutral arbiter as part of the Good Friday agreement, which brought peace to Northern Ireland after decades of sectarian strife.
In furtherance of these arrangements, the Government and the DUP will work together to ensure the necessary support can be established by both parties to fulfil these arrangements.
As part of the deal, the government will provide funds to boost Northern Ireland's economy, while investing in infrastructure, health and education. With the support of the 10 DUP lawmakers, May would have a majority if all her lawmakers support her.
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Speaking at No.10, Mrs May said: "We share many values in terms of wanting to see prosperity across the United Kingdom, the value of the union, the important bond between the different parts of the UK".
DUP and Downing Street sources have said that the DUP's support would come in exchange for £1bn for Northern Ireland's block grant. Welsh First Minister Carwyn Jones tweeted that the deal "flies in the face of the commitment to build a more united country". The DUP has claimed that the Tories had agreed to improve the way military veterans were treated in Northern Ireland.
The issue is being dealt with at the start of the formal Brexit negotiations, which are expected to be completed within two years.
Ms. Foster said, "This agreement will operate to deliver a stable government in the United Kingdom's national interest at this vital time".
In furtherance of our overall agreement the Government and the Democratic Unionist Party have established a co-ordination committee. Ruth Davidson, leader of the Conservatives in Scotland, sought assurances that LGBT rights would be protected after any deal with the DUP, which opposes same-sex marriage as well as abortion.
Sinn Fein president Gerry Adams said the deal means a continuation of Conservative Party policies.