Telford MP Lucy Allan said: "I am pleased that an agreement has now been established between the Government and the Democratic Unionist Party".
The agreement comes two weeks after a snap general election resulted in a hung Parliament, with May's Tories losing its overall majority.
Labour leader Jeremy Corbyn said the agreement was not in the national interest, adding: "The Government must immediately answer two questions".
The Conservatives' deal with the DUP will prove controversial because of the party's opposition to gay marriage and abortion and concern that the agreement could upset the fragile balance of the peace process in Northern Ireland.
"This is not money for the DUP, this is money for Northern Ireland, all the parties in Northern Ireland will benefit".
Labour's Kevin Brennan said that the continued provision of Short money, along with the extra funding, amounted to "double bubble for her friends in the DUP".
Tory grandee Lord Chris Patten told ITV's Peston on Sunday the alliance with the "toxic" DUP will be politically costly for the Conservatives.
Four killed as gunman attacks San Francisco UPS facility
Police also reportedly blocked off streets surrounding the hospital and were diverting motorists away from the building. A UPS spokesman said several people were injured in the shooting at the facility and that the shooter was an employee.
Arlene Foster, DUP leader, said: "We're delighted that we have reached this agreement, which I think works, obviously, for national stability".
Mundell said last week that any funding for Northern Ireland should adhere to rules about funding for Wales and Scotland too.
Mr Jones said: "Today's deal represents a straight bung to keep a weak Prime Minister and a faltering Government in office".
Northern Ireland has itself been in crisis since Sinn Fein pulled out of government in January, prompting an election in March and a series of missed deadlines to restore the compulsory coalition between Irish Catholic nationalists and pro-British Protestant unionists.
Both parties had agreed there will be no change to the pensions triple lock and the universal nature of the winter fuel payment across the United Kingdom, things May had planned to change in her election manifesto but later dropped.
Despite the increase in availability of superfast broadband and mobile services, "challenges remain" in Northern Ireland, notes the document.
Of course, the DUP has engaged in a power-sharing deal (of sorts) in Westminster too.
She said the Tories had now recognised the case for higher funding in Northern Ireland and will publish details of financial support to be made available in due course.