May claimed that this partnership would be the only way to ensure the U.K. can succeed in its Brexit talks, which are due to begin, as scheduled, on the week of June 19.
"What the country needs more than ever is certainty and having secured the largest number of votes and the greatest number of seats in the general election, it is clear that only the Conservative and Unionist party has the legitimacy and the ability to provide that certainty by commanding a majority in the House of Commons," she said.
The Conservatives fell short of securing a majority in Thursday's election, emerging with a total of 318, shy of the required 326. A partnership with the DUP, parliament's fifth-largest party with 10 seats, will enable May's party to push forward with their agenda.
"This will allow us to come together as a country and channel our energies towards a successful Brexit deal that works for everyone in this country," she added in a short address.
The DUP's leader Arlene Foster later told a press conference the party was in talks with the Conservatives to ensure "stability."
"We will enter discussions with the Conservatives to explore how it may be possible to bring stability to our nation at this time of great challenge," she said.
Correction: This story has been updated to reflect that the required number of seats for a majority is 326.
Follow CNBC International on Twitter and Facebook.