The prime minister declared to Nick Robinson of the BBC that tax cuts for individuals would continue. Tomorrow, that will be included in our manifesto.
When questioned about how he would pay for his plans, Mr. Sunak claimed that they would all be "fully funded and costed".
He asserted that under a future Tory government, regular government spending on public services will continue to rise faster than inflation.
But when pressed over whether certain departments would see cuts, he acknowledged "all governments prioritise within that".
In the spring Budget, the government announced a 2p tax cut to National Insurance for 27 million workers - matching another reduction set out in last year's Autumn Statement.
The Conservatives have also said they want to abolish National Insurance completely in the long term, when it is deemed affordable to do so.
The party's manifesto, which is being launched on Tuesday and will outline what it plans to do if it wins the election, is expected to include a pledge to scrap stamp duty for first-time buyers of properties costing up to £425,000.
However, it is not thought to include anything on inheritance tax.
Asked if the Tory manifesto would promise more tax cuts, Mr Sunak said he wanted to build on the tax cuts "we have already started to deliver".
Both the Tories and Labour have ruled out any increase to the rate of income tax, National Insurance or VAT.
However, both parties have also said income tax thresholds will remain frozen until 2028.
This means millions of people will be pulled into a higher tax band if their wages increase.
Mr Sunak said his party's policies would be paid for by clamping down on tax avoidance, which he said would raise £6bn, as well as reforming the welfare system and getting more people into work.
However, the independent Institute for Fiscal Studies has said delivering the £12bn savings promised by the Tories by 2030 through reforming welfare "looks difficult to the extreme".
The think tank has also warned whoever wins the next election will have to cut the scope of what the state provides or increase taxes to maintain levels of departmental spending.
Asked if he would be honest with people that his plans would also mean significant spending cuts for many government departments, the prime minister said: "No, that's not what our plans show."
He said day-to-day spending on public services under a future Tory government would continue to increase ahead of inflation.
But he added: "Of course, all governments prioritise within that."
Mr Sunak said he also wanted to focus on productivity in the public sector, which he said had fallen "considerably since Covid".
He added that increasing productivity to pre-pandemic levels would save £20bn and would make it possible to cut taxes.
Mr Sunak was also challenged over his party's record on housing.
Asking if having your own home had got harder under a Tory government, the prime minister said: “It has got harder - and I want to make sure that it's easier.
"And what we will do is not just build homes in the right places and do that in a way that is sensitive to local communities, but make sure that we support young people into great jobs so they can save for that deposit."
He added that "saddling young people with higher taxes" would make it harder for them to save for a deposit to buy a house and he wanted people to "keep more of their money".
One recent report by the Building Societies Association found first-time buyers were facing the toughest conditions in which to buy a house in 70 years.
It suggested home ownership among younger people has been in decline over the last 20 years.
Mortgage rates are relatively high compared with the last decade, and the cost of renting has also soared, making it harder for people to save.
This means first-time buyers face the double challenge of raising enough for a deposit as well as being able to afford a mortgage.
Labour’s shadow housing secretary Angela Rayner said Mr Sunak's answer was "a damning indictment of 14 years of housing failure".
She added: “Never once in 14 years have the Tories met their 300,000-a-year housing target, and their recent decision to appease the Tory MPs on their backbenches and abolish mandatory housing targets has seen housebuilding take a nosedive.”
Asked if record net migration figures showing 745,000 entered the UK in 2022 meant he had "lost control of the borders", Mr Sunak said the numbers were "too high".
But he argued that as PM he had brought in "the biggest, strictest reforms to bring down immigration that we’ve seen".
In the interview, the Mr Sunak repeated his apology for leaving last week’s D-Day commemorations early, saying: “I hope people can find it within their hearts to forgive me."
He asked people to “judge me by my actions”, pointing to increased investment in the armed forces and support for veterans.
Mr Sunak played down suggestions his election campaign had got off to a bad start, insisting he believed he was the right person “to build on the progress that we’ve made”.
“We've been through a tough few years and I do believe at this point we have turned a corner,” he said.