In media interviews, May said her finance minister would set out plans before a government spending review expected next year.
Jeremy Hunt, the Health Secretary, said: "We are clear there will be an increased burden of taxation".
Her claim that a "Brexit dividend" will pay for part of the increase in spending was widely attacked as unrealistic - even by some Conservatives.
And Mrs May has so far refused to be drawn on whether stealth taxes, such as delaying rises in income tax thresholds, and higher borrowing will fund the planned raising of the health budget by £20 billion a year in real terms by 2024.
However the Scottish official raised concerns surrounding the funding of the NHS in Scotland under the SNP.
"It must be a plan that tackles wastes, reduces bureaucracy, and eliminates unacceptable variation, with all these efficiency savings reinvested back into patient care".
XXXTentacion Dead After Being Shot in Florida Video from the scene shows him unconscious in the driver's seat of his BMW i8 before police arrive. Rapper XXXTentacion has reportedly been shot and has been wounded according to TMZ .
They said they wanted their money to be spent, not on subscriptions to European Union membership, but on our vital public services like the NHS.
Five key questions about the Prime Minister's NHS funding announcement answered.
He said Chancellor Philip Hammond would reveal more details in the autumn budget in November.
"Well, I can tell you what I am announcing will mean that in 2023-24, there will be about £600 million a week in cash, more in cash, going into the NHS".
"The devil is in the detail and the Tories have form of cutting other budgets when they are passing on consequentials which leaves the Scottish Government less than the health consequentials from the UK Government", she said.
Theresa May has today confirmed that taxpayers will have to pay "a bit more" to help fund a £20bn boost to the NHS, but also assured that this would be done in a "fair and balanced" way.
Both are considered essential to the sustainability of the NHS, but the increase announced only applied to front-line NHS services such as hospitals, Global Positioning System and mental health care.
The very idea of a Brexit dividend was quickly pounced on by various economists, political commentators and even Tory MPs on Social media.
While welcoming the £20.5bn-a-year boost, the group says Brexit "poses the biggest risk to our health service in its history" and the public should get a vote on the final deal struck with Brussels.
Councillor Izzi Seecombe, of the Local Government Association, said: "Without essential council services, which help people live healthy lives in their own homes and communities, the NHS can not thrive". But health professionals have argued that the scale of the crisis is much wider and includes other frontline services, particularly in social care.
Gerard Pique: Cristiano Ronaldo prone to diving Spain ultimately controlled much of the game and can chalk up two of the goals conceded to uncharacteristic individual errors. Spain struggled to contain Portugal's counterattacks, but it showed it remained a solid team despite Lopetegui's absence.
"The government says it will make sure the NHS does not come under more pressure as a result of social care pressures - that must mean major public investment in social care - if it is serious about this, the government needs to put its money where its mouth is".
Mickelson has finished runner-up at the US Open on six occasions. "I think he just snapped at how bad his speed was on that putt". Mickelson would shoot an 11-over 81 in the third round that dropped him to 17 over for the week and in 65th place.
The children are only allowed two hours a day for outdoor activities and spend the rest of their days inside a former Walmart . Vitiello said the policy is meant to deter families of immigrants from coming to the U.S.
John Garcia said he was just leaving the courthouse when he heard gunshots, and he and others were quickly told to go back inside. One of the mortally wounded deputies managed to shoot the suspect, who remains hospitalized.
The government has promised lawmakers a vote on the final deal, but the issue at stake is what happens if they reject it. Theresa May told BBC One's The Andrew Marr Show that 'Parliament can not tie the hands of government in negotiations'.
The US president said the new tariffs were created to punish China for the theft of American intellectual property and technology. Most are food and other farm goods, hitting Trump's rural supporters hardest.
Trump orders Pentagon to create United States 'space force'
The committee feels strongly that the US military has to be better prepared and equipped to dominate in space, Thornberry said. However, critics have said the treaty has no enforcement mechanism, allowing the US or other countries to militarize space .
Kirstjen Nielsen, DHS secretary
Pressed on why rates of separation are higher now compared to past administrations, Nielsen insisted Trump's hands were tied. Criticism of Trump's "zero tolerance" approach toward border crossings expanded rapidly over the weekend.
5 killed in SUV crash during chase in Texas
Footage of the crash showed four bodies on the ground, the charred Chevrolet and several Border Patrol vehicles at the scene. Boyd told WOAI a wall needs to be build because illegal immigration is "a real problem" in the area.
Maradona pours scorn on Argentina coach after Iceland draw
However, against the run of play in the 23rd minute, Iceland pushed forward through Birkir Bjarnason and Aron Gunnarsson . For example, guys from bigger countries may have better footballers, from better teams who are playing in better leagues.
Phil Mickelson Explains What Happened On No. 13 Green
In a day that may have otherwise been remembered for the playing conditions, Mickelson provided a weird and unexpected moment. The incident on Mickelson's 48th birthday brought to mind a similar episode by John Daly at the 1999 U.S.
Egypt's Cuper may live to regret Salah omission
Afterward, even Uruguay coach Oscar Tabarez conceded that the result might have been different had Salah been on the field. Luis Suarez missed an opportunity to put Uruguay ahead against Egypt as he hit the side netting from close range.